Adams, J. Frank (John Frank)
Overview
Works:  40 works in 280 publications in 4 languages and 7,192 library holdings 

Genres:  Encyclopedias Conference papers and proceedings Dictionaries 
Roles:  Author, Dedicatee, Honoree 
Classifications:  QA612, 514.2 
Publication Timeline
.
Most widely held works about
J. Frank Adams
 Adams completion and its applications by Sribatsa Nanda( Book )
 Report on the correspondence and papers of John Frank Adams FRS (19301989), mathematician, in Trinity College Library, Cambridge CB1 1TQ( Book )
 Report on the further correspondence and papers of John Frank Adams (19301989), mathematician, in Trinity College Library, Cambridge( Book )
 Adams Memorial Symposium on Algebraic Topology : Manchester 1990 by Adams Memorial Symposium on Algebraic Topology( )
Most widely held works by
J. Frank Adams
Lectures on Lie groups by
J. Frank Adams(
Book
)
35 editions published between 1969 and 1982 in 4 languages and held by 637 WorldCat member libraries worldwide
35 editions published between 1969 and 1982 in 4 languages and held by 637 WorldCat member libraries worldwide
Stable homotopy theory; lectures delivered at the University of California at Berkeley 1961 by
J. Frank Adams(
Book
)
47 editions published between 1961 and 1969 in 4 languages and held by 637 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
47 editions published between 1961 and 1969 in 4 languages and held by 637 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
)
12 editions published between 1972 and 2007 in English and Undetermined and held by 589 WorldCat member libraries worldwide
This set of notes, for graduate students who are specializing in algebraic topology, adopts a novel approach to the teaching of the subject. It begins with a survey of the most beneficial areas for study, with recommendations regarding the best written accounts of each topic. Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings. They are connected by short explanatory passages written by Professor Adams, whose own contributions to this branch of mathematics are represented in the reprinted articles
12 editions published between 1972 and 2007 in English and Undetermined and held by 589 WorldCat member libraries worldwide
This set of notes, for graduate students who are specializing in algebraic topology, adopts a novel approach to the teaching of the subject. It begins with a survey of the most beneficial areas for study, with recommendations regarding the best written accounts of each topic. Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings. They are connected by short explanatory passages written by Professor Adams, whose own contributions to this branch of mathematics are represented in the reprinted articles
Infinite loop spaces by
J. Frank Adams(
Book
)
27 editions published between 1978 and 1986 in 3 languages and held by 514 WorldCat member libraries worldwide
27 editions published between 1978 and 1986 in 3 languages and held by 514 WorldCat member libraries worldwide
Stable homotopy and generalised homology by
J. Frank Adams(
Book
)
22 editions published between 1971 and 1995 in English and Undetermined and held by 445 WorldCat member libraries worldwide
22 editions published between 1971 and 1995 in English and Undetermined and held by 445 WorldCat member libraries worldwide
New developments in topology by
Graeme Segal(
Book
)
12 editions published between 1972 and 1974 in English and held by 358 WorldCat member libraries worldwide
Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in 1972 have submitted their contributions for publication in this volume
12 editions published between 1972 and 1974 in English and held by 358 WorldCat member libraries worldwide
Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in 1972 have submitted their contributions for publication in this volume
Lectures on exceptional Lie groups by
J. Frank Adams(
Book
)
11 editions published between 1996 and 2000 in English and Undetermined and held by 280 WorldCat member libraries worldwide
11 editions published between 1996 and 2000 in English and Undetermined and held by 280 WorldCat member libraries worldwide
Adams Memorial Symposium on Algebraic Topology : Manchester 1990 by
Adams Memorial Symposium on Algebraic Topology(
Book
)
18 editions published between 1974 and 1992 in English and held by 261 WorldCat member libraries worldwide
J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. Here in the first volume the theme is mainly unstable homotopy theory, homological and categorical algebra. The second volume is oriented towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence
18 editions published between 1974 and 1992 in English and held by 261 WorldCat member libraries worldwide
J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. Here in the first volume the theme is mainly unstable homotopy theory, homological and categorical algebra. The second volume is oriented towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence
The selected works of J. Frank Adams by
J. Frank Adams(
Book
)
2 editions published between 1992 and 2009 in English and held by 177 WorldCat member libraries worldwide
2 editions published between 1992 and 2009 in English and held by 177 WorldCat member libraries worldwide
S.P. Novikov's work on operations on complex cobordism by
J. Frank Adams(
Book
)
18 editions published between 1953 and 1972 in English and Undetermined and held by 115 WorldCat member libraries worldwide
18 editions published between 1953 and 1972 in English and Undetermined and held by 115 WorldCat member libraries worldwide
Quillen's work on formal groups and complex cobordism by
J. Frank Adams(
Book
)
9 editions published between 1970 and 1972 in English and held by 77 WorldCat member libraries worldwide
9 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
)
8 editions published in 1975 in English and Undetermined and held by 50 WorldCat member libraries worldwide
8 editions published in 1975 in English and Undetermined and held by 50 WorldCat member libraries worldwide
The selected works of J. Frank Adams by
J. Frank Adams(
Book
)
10 editions published between 1992 and 2009 in English and held by 48 WorldCat member libraries worldwide
Une sélection d'articles scientifiques de John Frank Adams
10 editions published between 1992 and 2009 in English and held by 48 WorldCat member libraries worldwide
Une sélection d'articles scientifiques de John Frank Adams
The selected works of J. Frank Adams by
J. Frank Adams(
Book
)
9 editions published between 1992 and 2009 in English and held by 45 WorldCat member libraries worldwide
Sélection d'articles scientifiques de John Frank Adams
9 editions published between 1992 and 2009 in English and held by 45 WorldCat member libraries worldwide
Sélection d'articles scientifiques de John Frank Adams
Encyclopaedia of mathematics : an updated and annotated translation of the Soviet "Mathematical encyclopaedia" by
Michiel Hazewinkel(
Book
)
5 editions published between 1988 and 1995 in English and held by 28 WorldCat member libraries worldwide
5 editions published between 1988 and 1995 in English and held by 28 WorldCat member libraries worldwide
The selected works of J. Frank Adams by
J. Frank Adams(
Book
)
8 editions published in 1992 in English and held by 22 WorldCat member libraries worldwide
8 editions published in 1992 in English and held by 22 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
Two plus two equals minus seven by
John F Adams(
Book
)
1 edition published in 1972 in English and held by 6 WorldCat member libraries worldwide
1 edition published in 1972 in English and held by 6 WorldCat member libraries worldwide
Adams memorial Symposium on algebraic topology 12 : Manchester 1990(
Book
)
1 edition published in 1992 in English and held by 4 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 4 WorldCat member libraries worldwide
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Related Identities
 Segal, Graeme Editor
 Ray, Nigel 1945 Editor
 Walker, G. (Grant) Editor
 May, J. Peter Other Editor
 Mahmud, Zafer Editor
 Thomas, C. B. (Charles Benedict) Other Editor
 Mimura, M. (Mamoru) 1938 Editor
 Nanda, Sribatsa Author
 Novilov, S. P.
 Vasquez, A. T. Annotator
Useful Links
Associated Subjects
Adams, J. Frank(John Frank) Adams spectral sequences Algebra, Homological Algebraic topology Archives Cobordism theory Detective and mystery stories Differential topology England Formal groups Great Britain Group theory Homology theory Homotopy theory Hopf algebras Infinite loop spaces Lie algebras Lie groups Loop spaces Mathematics Novikov, S. P.(Sergeĭ Petrovich) Representations of groups Representations of Lie groups Topology Trinity College (University of Cambridge).Library
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 matemático británico
Frank Adams mathématicien britannique
John Frank Adams englischer Mathematiker
John Frank Adams matematico inglese
Адамс, Дж..
Джон Фрэнк Адамс британский математик
פרנק אדמס מתמטיקאי בריטי
فرانك ادامز رياضياتي بريطاني
فرانک آدامز
존 프랭크 애덤스
弗兰克·亚当斯
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