Homotopy Theory

An Introduction to Homotopy Theory

Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account

• Release Date: 1953-01-01
• Category: Mathematics
• Tags: Introduction Homotopy Theory

Whitehead: Homotopy Theory (Cloth)

topology as far as singular theory, it is designed to introduce the student to some of the more important concepts of homotopy theory. The book emphasizes (relative) CW-complexes, which the author believes

• Release Date: 1900-01-01
• Category: Subjects
• Tags: Whitehead Homotopy Theory Cloth

General Topology and Homotopy Theory

In this monograph, based on a set of sixteen lectures to students, the author expounds certain parts of general topology which are particulary relevant to homotopy theory. His book is reasonably self

• Release Date: 1984-01-01
• Category: Mathematics
• Tags: General Topology Homotopy Theory

Calculus of Fractions and Homotopy Theory

• Release Date: 1900-01-01
• Category: Mathematics
• Tags: Calculus Fractions Homotopy Theory

Homotopy Theory of C-Algebras

Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C

• Release Date: 2010-01-01
• Category: Mathematics
• Tags: Homotopy Theory Algebras

Interactions Between Homotopy Theory and Algebra

Interactions Between Homotopy Theory and Algebra: Summer School On Interactions Between Homotopy Theory And Algebra University Of Chicago, July 26 - ... Chicago, Illinois

• Release Date: 2007-09-15
• Category: Mathematics
• Tags: Interactions Between Homotopy Theory Algebra

Cohomology Operations and Applications in Homotopy Theory

. It constructs these operations, proves their major properties, and provides numerous applications, including several different techniques of homotopy theory useful for computation. 1968 edition

• Release Date: 2008-06-26
• Category: Mathematics
• Tags: Cohomology Operations Applications Homotopy Theory

Simplicial Homotopy Theory (Progress in Mathematics)

Since the beginning of the modern era of algebraic topology, simplicial methods have been used systematically and effectively for both computation and basic theory. With the development of Quillen

• Release Date: 1999-09-24
• Category: Mathematics
• Tags: Simplicial Homotopy Theory Progress Mathematics

Simplicial Homotopy Theory (Modern Birkhauser Classics)

-theoretical issues in a variety of fields, including algebraic K-theory. This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques. Discussed here are the homotopy theory

• Release Date: 2009-09-28
• Category: Mathematics
• Tags: Simplicial Homotopy Theory Modern Birkhauser Classics

Rational Homotopy Theory (Graduate Texts in Mathematics)

While rational homotopy theory is remarkably computational and simpler than ordinary homotopy theory, it is exactly this simplicity which makes it possible to address a number of fundamental

• Release Date: 2000-12-21
• Category: Mathematics
• Tags: Rational Homotopy Theory Graduate Texts Mathematics