Cech and Steenrod Homotopy Theories with Applications to Geometric Topology, D. A. Edwards; H. M. Hastings

Автор: M.G. Barratt; M.E. Mahowald
Название: Geometric Applications of Homotopy Theory II
ISBN: 3540088598 ISBN-13(EAN): 9783540088592
Издательство: Springer
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Автор: M. G. Barratt; M. E. Mahowald
Название: Geometric Applications of Homotopy Theory I
ISBN: 354008858X ISBN-13(EAN): 9783540088585
Издательство: Springer
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Автор: F. P. Peterson
Название: The Steenrod Algebra and Its Applications
ISBN: 354005300X ISBN-13(EAN): 9783540053002
Издательство: Springer
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Автор: Eilenberg Samuel, Steenrod Norman
Название: Foundations of Algebraic Topology
ISBN: 0691627231 ISBN-13(EAN): 9780691627236
Издательство: Wiley
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Описание:

The need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra.

Originally published in 1952.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover 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.

Автор: T. A. Chapman
Название: Controlled Simple Homotopy Theory and Applications
ISBN: 3540123385 ISBN-13(EAN): 9783540123385
Издательство: Springer
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Автор: P. L. Antonelli; D. Burghelea; P. J. Kahn
Название: The Concordance-Homotopy Groups of Geometric Automorphism Groups
ISBN: 3540055606 ISBN-13(EAN): 9783540055600
Издательство: Springer
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Автор: Yves Felix
Название: Algebraic Topology - Rational Homotopy
ISBN: 3540193405 ISBN-13(EAN): 9783540193401
Издательство: Springer
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Цена: 6288.00 р.
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Описание: This proceedings volume centers on new developments in rational homotopy and on their influence on algebra and algebraic topology. Most of the papers are original research papers dealing with rational homotopy and tame homotopy, cyclic homology, Moore conjectures on the exponents of the homotopy groups of a finite CW-c-complex and homology of loop spaces. Of particular interest for specialists are papers on construction of the minimal model in tame theory and computation of the Lusternik-Schnirelmann category by means articles on Moore conjectures, on tame homotopy and on the properties of Poincar series of loop spaces.

Автор: I.M. James
Название: General Topology and Homotopy Theory
ISBN: 1461382858 ISBN-13(EAN): 9781461382850
Издательство: Springer
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Автор: Michael Charles Crabb; Ioan Mackenzie James
Название: Fibrewise Homotopy Theory
ISBN: 1447112679 ISBN-13(EAN): 9781447112679
Издательство: Springer
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Описание: Topology occupies a central position in the mathematics of today. One of the most useful ideas to be introduced in the past sixty years is the concept of fibre bundle, which provides an appropriate framework for studying differential geometry and much else. Fibre bundles are examples of the kind of structures studied in fibrewise topology. Just as homotopy theory arises from topology, so fibrewise homotopy the- ory arises from fibrewise topology. In this monograph we provide an overview of fibrewise homotopy theory as it stands at present. It is hoped that this may stimulate further research. The literature on the subject is already quite extensive but clearly there is a great deal more to be done. Efforts have been made to develop general theories of which ordinary homotopy theory, equivariant homotopy theory, fibrewise homotopy theory and so forth will be special cases. For example, Baues 7] and, more recently, Dwyer and Spalinski 53], have presented such general theories, derived from an earlier theory of Quillen, but none of these seem to provide quite the right framework for our purposes. We have preferred, in this monograph, to develop fibre wise homotopy theory more or less ab initio, assuming only a basic knowledge of ordinary homotopy theory, at least in the early sections, but our aim has been to keep the exposition reasonably self-contained.

Автор: Hans-Joachim Baues
Название: Combinatorial Foundation of Homology and Homotopy
ISBN: 3642084478 ISBN-13(EAN): 9783642084478
Издательство: Springer
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Описание: In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold. This leads to a new combinatorial foundation of homology and homotopy. Numerous explicit examples and applications in various fields of topology and algebra are given.

Автор: Jardine John F.
Название: Local Homotopy Theory
ISBN: 1493922998 ISBN-13(EAN): 9781493922994
Издательство: Springer
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Описание: Local Homotopy Theory