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Introduction to Homotopy Theory (Universitext)
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ISBN
:
9781441973283
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Publisher
:
Springer
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Subject
:
Mathematics
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Binding
:
PAPERBACK
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Pages
:
357
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Year
:
2011
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7250.0
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6960.0
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Description
The unifying theme ofxA0;this bookxA0;is the Eckmann-Hilton duality theory, not to be found as the motif of any other text.xA0; Since many topics occur in dual pairs, this provides motivation for the ideas and reduces the amount of repetitious material. This carefully written text moves at a gentle pace, even with fairly advanced material. In addition, there is a wealth of illustrations and exercises. The more difficult exercises are starred, and hints to them are given at the end of the book. Key topics include:*basic homotopy *H-Spaces and Co-H-Spaces; *cofibrations and fibrations; *exact sequences; *applications of exactness; *homotopy pushouts and pullbacks and xA0;the classical theorems of homotopy theory; *homotopy and homology decompositions; *homotopy sets; and *obstruction theory. The book is written as a text for a second course in algebraic topology, for a topics seminar in homotopy theory, or for self instruction.
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