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Author : Hans J. Baues
Publisher : American Mathematical Soc.
Page : 171 pages
File Size : 47,6 Mb
Release : 1980
Category : Mathematics
ISBN : 9780821822302
Author : Hans Joachim Baues
Publisher : Unknown
Page : 0 pages
File Size : 51,9 Mb
Release : 1980
Category : Electronic
ISBN : OCLC:1103626146
Author : I.M. James
Publisher : Elsevier
Page : 1336 pages
File Size : 52,8 Mb
Release : 1995-07-18
Category : Mathematics
ISBN : 9780080532981
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.
Author : Justin R. Smith
Publisher : American Mathematical Soc.
Page : 141 pages
File Size : 41,5 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821825884
This book develops a new topological invariant called the m-structure, which incorporates all information contained in the canonical coproduct and the Steenrod operations. Given a chain complex equipped with an m-structure, Smith shows that its cobar construction also has a natural m-structure. This derived m-structure of the cobar construction corresponds to the m-structure of the loop space of the original space under the map that carries the cobar construction to the loop space. This result allows one to form iterated cobar constructions which Smith shows are homotopy equivalent to iterated loop spaces. These results are applied to the computation of the cohomology algebra structure of total spaces of fibrations.
Author : Shiing-Shen Chern
Publisher : World Scientific
Page : 278 pages
File Size : 42,8 Mb
Release : 2002
Category : Mathematics
ISBN : 9812777415
The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen''s interated integrals, algebraic fiber spaces, and others.
Author : Frederic Eyssette,Andre Galligo
Publisher : Springer Science & Business Media
Page : 334 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461227526
The theory and practice of computation in algebraic geometry and related domains, from a mathematical point of view, has generated an increasing interest both for its rich theoretical possibilities and its usefulness in applications in science and engineering. In fact, it is one of the master keys for future significant improvement of the computer algebra systems (e.g., Reduce, Macsyma, Maple, Mathematica, Axiom, Macaulay, etc.) that have become such useful tools for many scientists in a variety of disciplines. The major themes covered in this volume, arising from papers p- sented at the conference MEGA-92 were: - Effective methods and complexity issues in commutative algebra, projective geometry, real geometry, and algebraic number theory - Algebra-geometric methods in algebraic computing and applica tions. MEGA-92 was the second of a new series of European conferences on the general theme of Effective Methods in Algebraic Geometry. It was held in Nice, France, on April 21-25, 1992 and built on the themes presented at MEGA-90 (Livomo, Italy, April 17-21, 1990). The next conference - MEGA-94 - will be held in Santander, Spain in the spring of 1994. The Organizing committee that initiatiod and supervises this bi enniel conference consists of A. Conte (Torino), J.H. Davenport (Bath), A. Galligo (Nice), D. Yu. Grigoriev (Petersburg), J. Heintz (Buenos Aires), W. Lassner (Leipzig), D. Lazard (paris), H.M. MOller (Hagen), T. Mora (Genova), M. Pohst (DUsseldort), T. Recio (Santander), J.J.
Author : J.P. May
Publisher : Springer
Page : 184 pages
File Size : 44,6 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540376033
Author : Rolf Schön
Publisher : American Mathematical Soc.
Page : 63 pages
File Size : 55,9 Mb
Release : 1991
Category : Mathematics
ISBN : 9780821825228
does not need QB copy
Author : Jean-Louis Loday
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 41,6 Mb
Release : 1997
Category : Electronic
ISBN : 9780821805138
Author : Martin Majewski
Publisher : American Mathematical Soc.
Page : 175 pages
File Size : 48,7 Mb
Release : 2000
Category : Homotopy theory
ISBN : 9780821819203
The main goal of this paper is to prove the following conjecture of Baues and Lemaire: the differential graded Lie Tlgebra associated with the Sullivan model of a space is homotopy equivalent to its Quillen model. In addition we show the same for the cellular Lie algebra model which we build from the simplicial analog of the classical Adams-Hilton model. It turns out that this cellular Lie algebra model is one link in a chain of models connecting the models of Quillen and Sullivan.The key result which makes all this possible is Anick's correspondence between differential graded Lie algebras and Hopf algebras up to homotopy. In addition we show that the Quillen model is a rational homotopical equivalence, and we conclude the same for the other models using our main result. Theconstruction of the three models is given in detail. The background from homotopy theory, differential algebra, and algebra is presented in great generality.
Author : Hans J. Baues
Publisher : Cambridge University Press
Page : 490 pages
File Size : 54,5 Mb
Release : 1989-02-16
Category : Mathematics
ISBN : 9780521333764
This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra.
Author : William Joseph Haboush
Publisher : American Mathematical Soc.
Page : 429 pages
File Size : 50,9 Mb
Release : 1994
Category : Differential algebra
ISBN : 9780821815410
Proceedings of a research institute held at Pennsylvania State University, July 1991, focusing on quantum and infinite-dimensional methods of algebraic groups. Topics include perverse sheaves, finite Chevalley groups, the general theory of algebraic groups, representations, invariant theory, general
Author : Jesus De Loera,Joerg Rambau,Francisco Santos
Publisher : Springer Science & Business Media
Page : 547 pages
File Size : 54,5 Mb
Release : 2010-08-16
Category : Mathematics
ISBN : 9783642129711
Triangulations presents the first comprehensive treatment of the theory of secondary polytopes and related topics. The text discusses the geometric structure behind the algorithms and shows new emerging applications, including hundreds of illustrations, examples, and exercises.
Author : James D. Stasheff,John McCleary
Publisher : American Mathematical Soc.
Page : 321 pages
File Size : 55,9 Mb
Release : 1999
Category : Mathematics
ISBN : 9780821809136
Since the work of Stasheff and Sugawara in the 1960s on recognition of loop space structures on $H$-spaces, the notion of higher homotopies has grown to be a fundamental organizing principle in homotopy theory, differential graded homological algebra and even mathematical physics. This book presents the proceedings from a conference held on the occasion of Stasheff's 60th birthday at Vassar in June 1996. It offers a collection of very high quality papers and includes some fundamental essays on topics that open new areas. It's features include: accessible to a broad audience interested in mathematics and physics; offers a comprehensive overview of Stasheff's work; and, contains papers on very current research topics, including operads, combinatorial polyhedra and moduli spaces.
Author : Hans J. Baues
Publisher : Oxford University Press
Page : 524 pages
File Size : 46,7 Mb
Release : 1996
Category : Mathematics
ISBN : 0198514824
This monograph represents an attempt to classify homotopy types of simply connected CW-complexes. It provides methods and examples of explicit homotopy classifications, and includes applications to the classification of manifolds.
