Authors:Klaus Heiner Kamps, T. Porter,
Publisher: World Scientific Publishing Company
Keywords: homotopy, theory, simple, abstract
Number of Pages: 462
Published: 1995-05
List price: $107.00
ISBN-10: 9810216025
ISBN-13: 9789810216023
Abstract homotopy theory is based on the observation that analogues of much of topological homotopy theory and simple homotopy theory exist in many other categories, such as spaces over a fixed base, groupoids, chain complexes and module categories. Studying categorical versions of homotopy structure, such as cylinders and path space constructions enables not only a unified development of many examples of known homotopy theories, but also reveals the inner working of the classical spatial theory, clearly indicating the logical interdependence of properties (in particular the existence of certa
Author: Eric M. Friedlander
Publisher: Princeton University Press
Keywords: schemes, simplicial, homotopy, etale
Number of Pages: 191
Published: 1982-12-01
List price: $55.00
ISBN-10: 0691083177
ISBN-13: 9780691083179
Author:
Publisher: Amer Mathematical Society
Keywords: mathematical, society, american, memoirs, homotopy, metastable
Published: 1967-12-31
List price: $18.00
ISBN-10: 0821812726
ISBN-13: 9780821812723
Author: Sze-Tsen Hu
Publisher: Academic Press
Keywords: mathematics, applied, volume, theory, homotopy
Number of Pages: 347
Published: 1959-11-11
List price: $117.00
ISBN-10: 0123584507
ISBN-13: 9780123584502
Author: J. P. May and J. Sigurdsson
Publisher: American Mathematical Society
Keywords: surveys, monographs, mathematical, theory, homotopy, parametrized
Number of Pages: 441
Published: 2006-12-12
List price: $99.00
ISBN-10: 0821839225
ISBN-13: 9780821839225
This book develops rigorous foundations for parametrized homotopy theory, which is the algebraic topology of spaces and spectra that are continuously parametrized by the points of a base space. It also begins the systematic study of parametrized homology and cohomology theories. The parametrized world provides the natural home for many classical notions and results, such as orientation theory, the Thom isomorphism, Atiyah and Poincaré duality, transfer maps, the Adams and Wirthmüller isomorphisms, and the Serre and Eilenberg-Moore spectral sequences. But in addition to providing a cle
Author: Fabien Morel
Publisher: American Mathematical Society
Keywords: texts, monographs, ams, smf, theory, schemes, homotopy
Number of Pages: 104
Published: 2006-11-06
List price: $39.00
ISBN-10: 082183164X
ISBN-13: 9780821831649
In this text, the author presents a general framework for applying the standard methods from homotopy theory to the category of smooth schemes over a reasonable base scheme $k$. He defines the homotopy category $h(mathcal{E} k)$ of smooth $k$-schemes and shows that it plays the same role for smooth $k$-schemes as the classical homotopy category plays for differentiable varieties. It is shown that certain expected properties are satisfied, for example, concerning the algebraic $K$-theory of those schemes. In this way, advanced methods of algebraic topology become available in modern algebraic g
Author: Douglas C. Ravenel
Publisher: Princeton University Press
Keywords: theory, homotopy, stable, periodicity, nilpotence
Number of Pages: 224
Published: 1992-10-19
List price: $67.50
ISBN-10: 069102572X
ISBN-13: 9780691025728
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 up-to-date 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
