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Mathematics - Geometry & Topology | Introduction to Homotopy Theory (Reviews)

Introduction to Homotopy Theory

Series: Universitext

Arkowitz, Martin

2011, XIII, 344p. 333 illus..

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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. … Summing Up: Recommended. Upper-division undergraduates and above.” (D. V. Feldman, Choice, Vol. 49 (7), March, 2012)

“The book under review is an excellent addition to the beginning graduate level offerings in homotopy theory. A distinguishing feature is a thematic focus on Eckmann-Hilton duality. … this book offers an attractive option for a course or self-study, fitting a niche between the introductory texts of Munkres, Massey and Thatcher and the comprehensive treatments of homotopy theory by Spanier and Whitehead.” (Samuel B. Smith, Mathematical Reviews, Issue 2012 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 … . Introduction to Homotopy Theory is presented in nine chapters, taking the reader from ‘basic homotopy’ to obstruction theory with a lot of marvelous material in between … . Arkowitz’ book is a valuable text and promises to figure prominently in the education of many young topologists.” (Michael Berg, The Mathematical Association of America, October, 2011)

 

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