Some Constructions in S.
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Simplicial Sets. Combinatorial Homotopy Groups.
The Projective Structure. Motivic Spaces and Spectra Schemes and Morphisms. The Category Schk. Sheaves for a Grothendieck Topology. Arkowitz' book is a valuable text and promises to figure prominently in the education of many young topologists.
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Introduction to Homotopy Theory (Universitext)
Ships in 15 business days. Link Either by signing into your account or linking your membership details before your order is placed. Description Table of Contents Product Details Click on the cover image above to read some pages of this book! The principal topics are as follows: - Basic Homotopy; - H-spaces and co-H-spaces; - Fibrations and Cofibrations; - Exact sequences of homotopy sets, actions, and coactions; - Homotopy pushouts and pullbacks; - Classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; - Homotopy Sets; - Homotopy and homology decompositions of spaces and maps; and - Obstruction theory.
Industry Reviews From the reviews: "Homotopy theory constitutes a branch of algebraic topology, a subject whose modus operandi, enshrined in its very name, consists of attaching algebraic objects to topological spaces for the sake of reducing topological problems to simpler algebraic ones.
Introduction to Homotopy Theory | Martin Arkowitz | Springer
Smith, Mathematical Reviews, Issue f "Arkowitz' Introduction to Homotopy Theory is presumably aimed at an audience of graduate students who have already been exposed to the basics of algebraic topology H-Spaces and Co-H-Spaces. An Invitation to Computational Homotopy. Rational Homotopy Theory Ii.
Morse Theory Smooth And Discrete.
Imbeddings and Immersions Translations of Mathematical Monographs. Item Added: Introduction to Homotopy Theory.
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