Introduction to homotopy theory
Resource Information
The work Introduction to homotopy theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Introduction to homotopy theory
Resource Information
The work Introduction to homotopy theory represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Introduction to homotopy theory
 Statement of responsibility
 Martin Arkowitz
 Language
 eng
 Summary
 This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows:  Basic homotopy;  Hspaces and coHspaces;  Fibrations and cofibrations;  Exact sequences of homotopy sets, actions, and coactions;  Homotopy pushouts and pullbacks;  Classical theorems, including those of Serre, Hurewicz, BlakersMassey, and Whitehead;  Homotopy sets;  Homotopy and homology decompositions of spaces and maps; and  Obstruction theory. The underlying theme of the entire book is the EckmannHilton duality theory. This approach provides a unifying motif, clarifies many concepts, and reduces the amount of repetitious material. The subject matter is treated carefully with attention to detail, motivation is given for many results, there are several illustrations, and there are a large number of exercises of varying degrees of difficulty. It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory; these topics are discussed in the appendices. The book can be used as a text for the second semester of an algebraic topology course. The intended audience of this book is advanced undergraduate or graduate students. The book could also be used by anyone with a little background in topology who wishes to learn some homotopy theory
 Cataloging source
 E7B
 Dewey number
 514/.24
 Illustrations
 illustrations
 Index
 index present
 Language note
 English
 LC call number
 QA612.7
 LC item number
 .A75 2011eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Universitext,
Context
Context of Introduction to homotopy theoryWork of
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