Adams, J. Frank (John Frank)
Overview
Works:  99 works in 339 publications in 4 languages and 6,843 library holdings 

Genres:  Encyclopedias Conference papers and proceedings Dictionaries 
Roles:  Author, Dedicatee 
Classifications:  QA612, 514.2 
Publication Timeline
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Most widely held works about
J. Frank Adams
 Adams completion and its applications by Sribatsa Nanda( Book )
 Report on the further correspondence and papers of John Frank Adams (19301989), mathematician, in Trinity College Library, Cambridge( Book )
 Lanesville Mills, J.F. Adams, Attleboro, Mass. [insurance map] by Barlow's Insurance Surveys( )
 Report on the correspondence and papers of John Frank Adams FRS (19301989), mathematician, in Trinity College Library, Cambridge CB1 1TQ( Book )
 Jesse and Laura : a story of the lives of Dr. and Mrs. J.F. Adams of Woodbury, Tennessee by Ruth Adams Holland( Book )
 Adams Memorial Symposium on Algebraic Topology : Manchester 1990 by Adams Memorial Symposium on Algebraic Topology( )
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Most widely held works by
J. Frank Adams
Lectures on Lie groups by
J. Frank Adams(
Book
)
34 editions published between 1969 and 2000 in 4 languages and held by 877 WorldCat member libraries worldwide
34 editions published between 1969 and 2000 in 4 languages and held by 877 WorldCat member libraries worldwide
Stable homotopy theory; lectures delivered at the University of California at Berkeley 1961 by
J. Frank Adams(
Book
)
50 editions published between 1964 and 2007 in 3 languages and held by 633 WorldCat member libraries worldwide
Before I get down to the business of exposition, I'd like to offer a little motivation. I want to show that there are one or two places in homotopy theory where we strongly suspect that there is something systematic going on, but where we are not yet sure what the system is. The first question concerns the stable Jhomomorphism. I recall that this is a homomorphism J: ~ (SQ) ~ ~S = ~ + (Sn), n large. r r r n It is of interest to the differential topologists. Since Bott, we know that ~ (SO) is periodic with period 8: r 6 8 r = 1 2 3 4 5 7 9· . · Z o o o z On the other hand, ~S is not known, but we can nevertheless r ask about the behavior of J. The differential topologists prove: 2 Th~~: If I' = ~  1, so that 'IT"r(SO) ~ 2, then J('IT"r(SO)) = 2m where m is a multiple of the denominator of ~/4k th (l\. being in the Pc Bepnoulli numher.) Conject~~: The above result is best possible, i.e. J('IT"r(SO)) = 2m where m 1s exactly this denominator. status of conJectuI'e ~ No proof in sight. Q9njecture Eo If I' = 8k or 8k + 1, so that 'IT"r(SO) = Z2' then J('IT"r(SO)) = 2 , 2 status of conjecture: Probably provable, but this is work in progl'ess
50 editions published between 1964 and 2007 in 3 languages and held by 633 WorldCat member libraries worldwide
Before I get down to the business of exposition, I'd like to offer a little motivation. I want to show that there are one or two places in homotopy theory where we strongly suspect that there is something systematic going on, but where we are not yet sure what the system is. The first question concerns the stable Jhomomorphism. I recall that this is a homomorphism J: ~ (SQ) ~ ~S = ~ + (Sn), n large. r r r n It is of interest to the differential topologists. Since Bott, we know that ~ (SO) is periodic with period 8: r 6 8 r = 1 2 3 4 5 7 9· . · Z o o o z On the other hand, ~S is not known, but we can nevertheless r ask about the behavior of J. The differential topologists prove: 2 Th~~: If I' = ~  1, so that 'IT"r(SO) ~ 2, then J('IT"r(SO)) = 2m where m is a multiple of the denominator of ~/4k th (l\. being in the Pc Bepnoulli numher.) Conject~~: The above result is best possible, i.e. J('IT"r(SO)) = 2m where m 1s exactly this denominator. status of conJectuI'e ~ No proof in sight. Q9njecture Eo If I' = 8k or 8k + 1, so that 'IT"r(SO) = Z2' then J('IT"r(SO)) = 2 , 2 status of conjecture: Probably provable, but this is work in progl'ess
Algebraic topology: a student's guide by
J. Frank Adams(
Book
)
19 editions published between 1972 and 2007 in English and Undetermined and held by 604 WorldCat member libraries worldwide
This set of notes is aimed at graduate students who are specializing in algebraic topology
19 editions published between 1972 and 2007 in English and Undetermined and held by 604 WorldCat member libraries worldwide
This set of notes is aimed at graduate students who are specializing in algebraic topology
Infinite loop spaces by
J. Frank Adams(
Book
)
24 editions published between 1978 and 1986 in 3 languages and held by 511 WorldCat member libraries worldwide
24 editions published between 1978 and 1986 in 3 languages and held by 511 WorldCat member libraries worldwide
Stable homotopy and generalised homology by
J. Frank Adams(
Book
)
18 editions published between 1971 and 1995 in English and Undetermined and held by 441 WorldCat member libraries worldwide
18 editions published between 1971 and 1995 in English and Undetermined and held by 441 WorldCat member libraries worldwide
New developments in topology by
Graeme Segal(
Book
)
12 editions published between 1972 and 1974 in English and held by 361 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Preface; OPERATIONS OF THE NTH KIND INKTHEORY, AND WHAT WE DON'T KNOW ABOUT RP∞; I. Operations of the nth kind in Ktheory; ll. What we don't know about RP∞; THE PONTRJAGIN DUAL OF A SPECTRUM; REFERENCES; ALGEBRAIC KTHEORY OF NONADDITIVE FUNCTORS OF FINITE DEGREE; REFERENCES; DYERLASHOF OPERATIONS INKTHEORY; 2. How to define Q(p); 3. About Theorem 1; 4. Prospects; REFERENCES; HOMOTOPY HOMOMORPHISMS OF LIE GROUPS; REFERENCES; ON SPHERICAL FIBER BUNDLES AND THEIR PL REDUCTIONS; 1. The Mahowald orientation; 2. The proof of Theorem A
12 editions published between 1972 and 1974 in English and held by 361 WorldCat member libraries worldwide
Cover; Title; Copyright; Contents; Preface; OPERATIONS OF THE NTH KIND INKTHEORY, AND WHAT WE DON'T KNOW ABOUT RP∞; I. Operations of the nth kind in Ktheory; ll. What we don't know about RP∞; THE PONTRJAGIN DUAL OF A SPECTRUM; REFERENCES; ALGEBRAIC KTHEORY OF NONADDITIVE FUNCTORS OF FINITE DEGREE; REFERENCES; DYERLASHOF OPERATIONS INKTHEORY; 2. How to define Q(p); 3. About Theorem 1; 4. Prospects; REFERENCES; HOMOTOPY HOMOMORPHISMS OF LIE GROUPS; REFERENCES; ON SPHERICAL FIBER BUNDLES AND THEIR PL REDUCTIONS; 1. The Mahowald orientation; 2. The proof of Theorem A
The selected works of J. Frank Adams by
J. Frank Adams(
Book
)
26 editions published between 1992 and 2009 in English and held by 274 WorldCat member libraries worldwide
Sélection d'articles scientifiques de John Frank Adams
26 editions published between 1992 and 2009 in English and held by 274 WorldCat member libraries worldwide
Sélection d'articles scientifiques de John Frank Adams
Adams Memorial Symposium on Algebraic Topology : Manchester 1990 by
Adams Memorial Symposium on Algebraic Topology(
Book
)
13 editions published between 1974 and 1992 in English and held by 236 WorldCat member libraries worldwide
Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology
13 editions published between 1974 and 1992 in English and held by 236 WorldCat member libraries worldwide
Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology
S.P. Novikov's work on operations on complex cobordism by
J. Frank Adams(
Book
)
15 editions published between 1953 and 1972 in English and Undetermined and held by 111 WorldCat member libraries worldwide
15 editions published between 1953 and 1972 in English and Undetermined and held by 111 WorldCat member libraries worldwide
Quillen's work on formal groups and complex cobordism by
J. Frank Adams(
Book
)
8 editions published between 1970 and 1972 in English and held by 77 WorldCat member libraries worldwide
8 editions published between 1970 and 1972 in English and held by 77 WorldCat member libraries worldwide
Localisation and completion : with an addendum on the use of BrownPeterson homology in stable homotopy by
J. Frank Adams(
Book
)
5 editions published in 1975 in English and Undetermined and held by 47 WorldCat member libraries worldwide
5 editions published in 1975 in English and Undetermined and held by 47 WorldCat member libraries worldwide
Poems and essays including Address to ocean, the great question, etc., etc. by
J. Frank Adams(
Book
)
in English and held by 30 WorldCat member libraries worldwide
in English and held by 30 WorldCat member libraries worldwide
Poems and essays : including Address to ocean, the great question, &c., &c. by
J. Frank Adams(
Book
)
5 editions published in 1855 in English and held by 14 WorldCat member libraries worldwide
5 editions published in 1855 in English and held by 14 WorldCat member libraries worldwide
Stable Homotopy Theory by Adams(
)
2 editions published between 1964 and 1966 in Undetermined and held by 11 WorldCat member libraries worldwide
2 editions published between 1964 and 1966 in Undetermined and held by 11 WorldCat member libraries worldwide
Lie groups : lectures given in the University of Manchester, 1965 by
J. Frank Adams(
Book
)
1 edition published in 1965 in English and held by 11 WorldCat member libraries worldwide
1 edition published in 1965 in English and held by 11 WorldCat member libraries worldwide
Encyclopaedia of mathematics : an updated and annotated translation of the Soviet "Mathematical encyclopaedia" by
Michiel Hazewinkel(
Book
)
5 editions published in 1995 in English and held by 10 WorldCat member libraries worldwide
Leksikon over matematiske udtryk, definitioner og resultater. Leksikonet er rigt forsynet med interne hyperlink mellem artiklerne og er illustreret med grafik
5 editions published in 1995 in English and held by 10 WorldCat member libraries worldwide
Leksikon over matematiske udtryk, definitioner og resultater. Leksikonet er rigt forsynet med interne hyperlink mellem artiklerne og er illustreret med grafik
The selected works by
J. Frank Adams(
Book
)
2 editions published between 1992 and 2009 in English and held by 8 WorldCat member libraries worldwide
2 editions published between 1992 and 2009 in English and held by 8 WorldCat member libraries worldwide
The selected works by
J. Frank Adams(
Book
)
2 editions published between 1992 and 2009 in English and held by 8 WorldCat member libraries worldwide
2 editions published between 1992 and 2009 in English and held by 8 WorldCat member libraries worldwide
Clinical acidbase balance by
W. S. T Thomson(
Book
)
3 editions published in 1997 in English and held by 5 WorldCat member libraries worldwide
"AcidBase is an area that medical students have traditionally found very difficult. This text meets the needs of those who need to know more about the field than can be found in the standard textbooks of medicine. This book covers the area with a clinical bias and has a practical emphasis."Publisher description (LoC)
3 editions published in 1997 in English and held by 5 WorldCat member libraries worldwide
"AcidBase is an area that medical students have traditionally found very difficult. This text meets the needs of those who need to know more about the field than can be found in the standard textbooks of medicine. This book covers the area with a clinical bias and has a practical emphasis."Publisher description (LoC)
Topics in algebraic and analytic geometry; notes from a course of Phillip Griffiths by
Phillip Griffiths(
Book
)
3 editions published between 1974 and 2015 in English and held by 2 WorldCat member libraries worldwide
This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories.Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 Ktheory and Bott periodicity; 6.2 Ktheory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the AtiyahHirzebruch spectral sequence; 7.3 Ktheory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography.Originally published in 1974.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
3 editions published between 1974 and 2015 in English and held by 2 WorldCat member libraries worldwide
This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories.Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 Ktheory and Bott periodicity; 6.2 Ktheory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the AtiyahHirzebruch spectral sequence; 7.3 Ktheory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography.Originally published in 1974.The Princeton Legacy Library uses the latest printondemand technology to again make available previously outofprint books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905
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Related Identities
 Segal, Graeme Editor
 Ray, Nigel 1945
 Walker, G. (Grant)
 May, J. Peter Other Editor
 Thomas, C. B. (Charles Benedict) Other Editor
 Mahmud, Zafer Editor
 Mimura, M. (Mamoru) 1938 Editor
 Nanda, Sribatsa Author
 Novilov, S. P.
 Vasquez, A. T. Annotator
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Associated Subjects
Acidbase equilibrium Acidbase imbalances Adams, J. Frank(John Frank) Algebra, Homological Algebraic topology Archives Attleboro (Mass.) Cobordism theory Cotton manufacture Differential topology England Fire risk assessment Formal groups Geometry, Algebraic Geometry, Analytic Great Britain Group theory Homology theory Homotopy theory Hopf algebras Infinite loop spaces Insurance surveys Lie algebras Lie groups Loop spaces Mathematics Novikov, S. P.(Sergeĭ Petrovich) Representations of groups Representations of Lie groups Textile factories Topology Trinity College (University of Cambridge).Library Woodbury (Tenn.)
Alternative Names
Adams, Dž.
Adams, Dž 19301989
Adams, Dž. F. 19301989
Adams, Frank
Adams, Frank 19301989
Adams, Frank 1989
Adams, J. F.
Adams, J. F. 19301989
Adams, J. F. (John Frank)
Adams, J. Frank.
Adams, J. Frank 19301989
Adams, John F.
Adams, John F. 19301989
Adams, John Frank
Frank Adams Brits wiskundige (19301989)
Frank Adams mathématicien britannique
John Frank Adams englischer Mathematiker
John Frank Adams matematico inglese
Адамс, Дж..
Джон Фрэнк Адамс британский математик
فرانک آدامز
존 프랭크 애덤스
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