Ravenel, Douglas C.
Overview
Works:  10 works in 97 publications in 3 languages and 2,209 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other 
Classifications:  QA3, 514.24 
Publication Timeline
.
Most widely held works by
Douglas C Ravenel
Complex cobordism and stable homotopy groups of spheres by
Douglas C Ravenel(
Book
)
23 editions published between 1985 and 2004 in English and held by 519 WorldCat member libraries worldwide
23 editions published between 1985 and 2004 in English and held by 519 WorldCat member libraries worldwide
Nilpotence and periodicity in stable homotopy theory by
Douglas C Ravenel(
Book
)
15 editions published between 1992 and 2016 in English and Italian and held by 362 WorldCat member libraries worldwide
Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an uptodate text on that topic. Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CWcomplex, and suspension. Next the machinery of complex cobordism, Morava Ktheory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group
15 editions published between 1992 and 2016 in English and Italian and held by 362 WorldCat member libraries worldwide
Nilpotence and Periodicity in Stable Homotopy Theory describes some major advances made in algebraic topology in recent years, centering on the nilpotence and periodicity theorems, which were conjectured by the author in 1977 and proved by Devinatz, Hopkins, and Smith in 1985. During the last ten years a number of significant advances have been made in homotopy theory, and this book fills a real need for an uptodate text on that topic. Ravenel's first few chapters are written with a general mathematical audience in mind. They survey both the ideas that lead up to the theorems and their applications to homotopy theory. The book begins with some elementary concepts of homotopy theory that are needed to state the problem. This includes such notions as homotopy, homotopy equivalence, CWcomplex, and suspension. Next the machinery of complex cobordism, Morava Ktheory, and formal group laws in characteristic p are introduced. The latter portion of the book provides specialists with a coherent and rigorous account of the proofs. It includes hitherto unpublished material on the smash product and chromatic convergence theorems and on modular representations of the symmetric group
Algebraic topology : proceedings of a workshop held at the University of Washington, Seattle, 1985 by
Haynes R Miller(
Book
)
23 editions published between 1985 and 1989 in 3 languages and held by 340 WorldCat member libraries worldwide
During the Winter and spring of 1985 a Workshop in Algebraic Topology was held at the University of Washington. The course notes by Emmanuel Dror Farjoun and by Frederick R. Cohen contained in this volume are carefully written graduate level expositions of certain aspects of equivariant homotopy theory and classical homotopy theory, respectively. M.E. Mahowald has included some of the material from his further papers, represent a wide range of contemporary homotopy theory: the Kervaire invariant, stable splitting theorems, computer calculation of unstable homotopy groups, and studies of L(n), Im J, and the symmetric groups
23 editions published between 1985 and 1989 in 3 languages and held by 340 WorldCat member libraries worldwide
During the Winter and spring of 1985 a Workshop in Algebraic Topology was held at the University of Washington. The course notes by Emmanuel Dror Farjoun and by Frederick R. Cohen contained in this volume are carefully written graduate level expositions of certain aspects of equivariant homotopy theory and classical homotopy theory, respectively. M.E. Mahowald has included some of the material from his further papers, represent a wide range of contemporary homotopy theory: the Kervaire invariant, stable splitting theorems, computer calculation of unstable homotopy groups, and studies of L(n), Im J, and the symmetric groups
Homotopy theory and its applications : a conference on algebraic topology in honor of Samuel Gitler, August 913, 1993, Cocoyoc,
Mexico by Conference on algebraic topology in honor of Samuel Gitler(
Book
)
12 editions published in 1995 in English and held by 224 WorldCat member libraries worldwide
This book is the result of a conference held to examine developments in homotopy theory in honor of Samuel Gitler in August 1993 (Cocoyoc, Mexico). It includes several research papers and three expository papers on various topics in homotopy theory. The research papers discuss the following: application of homotopy theory to group theory, fiber bundle theory, and homotopy theory. The expository papers consider the following topics: the AtiyahJones conjecture (by C. Boyer), classifying spaces of finite groups (by J. Martino), and instanton moduli spaces (by R.J. Milgram). Homotopy Theory and Its Applications offers a distinctive account of how homotopytheoretic methods can be applied to a variety of interesting problems
12 editions published in 1995 in English and held by 224 WorldCat member libraries worldwide
This book is the result of a conference held to examine developments in homotopy theory in honor of Samuel Gitler in August 1993 (Cocoyoc, Mexico). It includes several research papers and three expository papers on various topics in homotopy theory. The research papers discuss the following: application of homotopy theory to group theory, fiber bundle theory, and homotopy theory. The expository papers consider the following topics: the AtiyahJones conjecture (by C. Boyer), classifying spaces of finite groups (by J. Martino), and instanton moduli spaces (by R.J. Milgram). Homotopy Theory and Its Applications offers a distinctive account of how homotopytheoretic methods can be applied to a variety of interesting problems
Elliptic cohomology by
C. B Thomas(
Book
)
12 editions published in 2007 in English and held by 212 WorldCat member libraries worldwide
Edward Witten once said that Elliptic Cohomology was a piece of 21st Century Mathematics that happened to fall into the 20th Century. He also likened our understanding of it to what we know of the topography of an archipelago; the peaks are beautiful and clearly connected to each other, but the exact connections are buried, as yet invisible. This very active subject has connections to algebraic topology, theoretical physics, number theory and algebraic geometry, and all these connections are represented in the sixteen papers in this volume. A variety of distinct perspectives are offered, with topics including equivariant complex elliptic cohomology, the physics of Mtheory, the modular characteristics of vertex operator algebras, and higher chromatic analogues of elliptic cohomology. This is the first collection of papers on elliptic cohomology in almost twenty years and gives a broad picture of the state of the art in this important field of mathematics
12 editions published in 2007 in English and held by 212 WorldCat member libraries worldwide
Edward Witten once said that Elliptic Cohomology was a piece of 21st Century Mathematics that happened to fall into the 20th Century. He also likened our understanding of it to what we know of the topography of an archipelago; the peaks are beautiful and clearly connected to each other, but the exact connections are buried, as yet invisible. This very active subject has connections to algebraic topology, theoretical physics, number theory and algebraic geometry, and all these connections are represented in the sixteen papers in this volume. A variety of distinct perspectives are offered, with topics including equivariant complex elliptic cohomology, the physics of Mtheory, the modular characteristics of vertex operator algebras, and higher chromatic analogues of elliptic cohomology. This is the first collection of papers on elliptic cohomology in almost twenty years and gives a broad picture of the state of the art in this important field of mathematics
Algebraic topology : proceedings of an international conference held in Arcata, California, July 27August 2, 1986 by
G Carlsson(
)
8 editions published in 1989 in English and Undetermined and held by 42 WorldCat member libraries worldwide
These are proceedings of an International Conference on Algebraic Topology, held 28 July through 1 August, 1986, at Arcata, California. The conference served in part to mark the 25th anniversary of the journal Topology and 60th birthday of Edgar H. Brown. It preceded ICM 86 in Berkeley, and was conceived as a successor to the Aarhus conferences of 1978 and 1982. Some thirty papers are included in this volume, mostly at a research level. Subjects include cyclic homology, Hspaces, transformation groups, real and rational homotopy theory, acyclic manifolds, the homotopy theory of classifying spaces, instantons and loop spaces, and complex bordism
8 editions published in 1989 in English and Undetermined and held by 42 WorldCat member libraries worldwide
These are proceedings of an International Conference on Algebraic Topology, held 28 July through 1 August, 1986, at Arcata, California. The conference served in part to mark the 25th anniversary of the journal Topology and 60th birthday of Edgar H. Brown. It preceded ICM 86 in Berkeley, and was conceived as a successor to the Aarhus conferences of 1978 and 1982. Some thirty papers are included in this volume, mostly at a research level. Subjects include cyclic homology, Hspaces, transformation groups, real and rational homotopy theory, acyclic manifolds, the homotopy theory of classifying spaces, instantons and loop spaces, and complex bordism
A definition of exotic characteristic classes by
Douglas C Ravenel(
)
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
1 edition published in 1972 in English and held by 1 WorldCat member library worldwide
Complex cobordism in homotopy theory : its impact and prospects(
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
Homotopy theory and its applications : Conference on algebraic topology : Papers(
)
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
1 edition published in 1995 in English and held by 1 WorldCat member library worldwide
Homotopy Theory and Its Applications : a Conference on Algebraic Topology August 913, 1993, Cocoyoc, Mexico by
Alejandro Adem(
)
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 2015 in English and held by 0 WorldCat member libraries worldwide
Audience Level
0 

1  
Kids  General  Special 
Related Identities
 Miller, Haynes R. 1948 Other Author Editor
 Milgram, R. James Other Editor
 Adem, Alejandro Other Author Editor
 London Mathematical Society
 Gitler, Samuel Other Dedicatee
 Carlsson, Gunnar Author Editor
 Cohen, Ralph Editor
 SpringerLink (Service en ligne)
 University of Washington
 Thomas, Charles 19382005 Honoree Dedicatee
Useful Links
Alternative Names
Douglas Ravenel American mathematician
Douglas Ravenel Amerikaans wiskundige
Douglas Ravenel amerikansk matematikar
Douglas Ravenel amerikansk matematiker
Douglas Ravenel USamerikanischer Mathematiker
Ravenel, D. C.
Ravenel, D. C. (Douglas Conner)
Languages
Covers