Handbook of Algebraic Topology

Handbook of Algebraic Topology PDF Author: I.M. James
Publisher: Elsevier
ISBN: 0080532985
Category : Mathematics
Languages : en
Pages : 1336

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Book Description
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.

Handbook of Algebraic Topology

Handbook of Algebraic Topology PDF Author: I.M. James
Publisher: Elsevier
ISBN: 0080532985
Category : Mathematics
Languages : en
Pages : 1336

Get Book Here

Book Description
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.

Algebraic Topology. Seattle 1985

Algebraic Topology. Seattle 1985 PDF Author: Haynes R. Miller
Publisher: Springer
ISBN: 3540479864
Category : Mathematics
Languages : en
Pages : 350

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Book Description
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.

Algebraic Topology

Algebraic Topology PDF Author: Mark E. Mahowald
Publisher: American Mathematical Soc.
ISBN: 0821851020
Category : Mathematics
Languages : en
Pages : 366

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Book Description
This book will provide readers with an overview of some of the major developments in current research in algebraic topology. Representing some of the leading researchers in the field, the book contains the proceedings of the International Conference on Algebraic Topology, held at Northwestern University in March, 1988. Several of the lectures at the conference were expository and will therefore appeal to topologists in a broad range of areas. The primary emphasis of the book is on homotopy theory and its applications. The topics covered include elliptic cohomology, stable and unstable homotopy theory, classifying spaces, and equivariant homotopy and cohomology. Geometric topics--such as knot theory, divisors and configurations on surfaces, foliations, and Siegel spaces--are also discussed. Researchers wishing to follow current trends in algebraic topology will find this book a valuable resource.

Algebraic Topology. Seattle 1985

Algebraic Topology. Seattle 1985 PDF Author: Haynes R. Miller
Publisher: Springer
ISBN: 9783540184812
Category : Mathematics
Languages : en
Pages : 346

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Book Description
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.

Algebraic Topology: New Trends in Localization and Periodicity

Algebraic Topology: New Trends in Localization and Periodicity PDF Author: Carles Broto
Publisher: Birkhäuser
ISBN: 3034890184
Category : Mathematics
Languages : en
Pages : 405

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Book Description
Central to this collection of papers are new developments in the general theory of localization of spaces. This field has undergone tremendous change of late and is yielding new insight into the mysteries of classical homotopy theory. The present volume comprises the refereed articles submitted at the Conference on Algebraic Topology held in Sant Feliu de GuĂ­xols, Spain, in June 1994. Several comprehensive articles on general localization clarify the basic tools and give a report on the state of the art in the subject matter. The text is therefore accessible not only to the professional mathematician but also to the advanced student.

Algebraic Topology: Oaxtepec 1991

Algebraic Topology: Oaxtepec 1991 PDF Author: Martin C. Tangora
Publisher: American Mathematical Soc.
ISBN: 0821851624
Category : Mathematics
Languages : en
Pages : 504

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Book Description
This book consists of twenty-nine articles contributed by participants of the International Conference in Algebraic Topology held in July 1991 in Mexico. In addition to papers on current research, there are several surveys and expositions on the work of Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 mathematicians from fifteen countries. It ended with a spectacular total eclipse of the sun, a photograph of which appears as the frontispiece. The papers range over much of algebraic topology and cross over into related areas, such as K theory, representation theory, and Lie groups. Also included is a chart of the Adams spectral sequence and a bibliography of Mahowald's publications.

Algebraic Topology. Poznan 1989

Algebraic Topology. Poznan 1989 PDF Author: Stefan Jackowski
Publisher: Springer
ISBN: 354047403X
Category : Mathematics
Languages : en
Pages : 404

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Book Description
As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held. In the resulting proceedings volume, the emphasis is on substantial survey papers, some presented at the conference, some written subsequently.

Homotopy Methods in Algebraic Topology

Homotopy Methods in Algebraic Topology PDF Author: Nicholas Kuhn
Publisher: American Mathematical Soc.
ISBN: 0821826212
Category : Mathematics
Languages : en
Pages : 370

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Book Description
This volume presents the proceedings from the AMS-IMS-SIAM Summer Research Conference on Homotopy Methods in Algebraic Topology held at the University of Colorado (Boulder). The conference coincided with the sixtieth birthday of J. Peter May. An article is included reflecting his wide-ranging and influential contributions to the subject area. Other articles in the book discuss the ordinary, elliptic and real-oriented Adams spectral sequences, mapping class groups, configuration spaces, extended powers, operads, the telescope conjecture, $p$-compact groups, algebraic K theory, stable and unstable splittings, the calculus of functors, the $E_{\infty}$ tensor product, and equivariant cohomology theories. The book offers a compendious source on modern aspects of homotopy theoretic methods in many algebraic settings.

An Alpine Anthology of Homotopy Theory

An Alpine Anthology of Homotopy Theory PDF Author: Dominique Arlettaz
Publisher: American Mathematical Soc.
ISBN: 082183696X
Category : Mathematics
Languages : en
Pages : 228

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Book Description
The second Arolla conference on algebraic topology brought together specialists covering a wide range of homotopy theory and $K$-theory. These proceedings reflect both the variety of talks given at the conference and the diversity of promising research directions in homotopy theory. The articles contained in this volume include significant contributions to classical unstable homotopy theory, model category theory, equivariant homotopy theory, and the homotopy theory of fusionsystems, as well as to $K$-theory of both local fields and $C*$-algebras.

Algebraic Topology and Transformation Groups

Algebraic Topology and Transformation Groups PDF Author: Tammo tom Dieck
Publisher: Springer
ISBN: 3540460365
Category : Mathematics
Languages : en
Pages : 311

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Book Description