Introduction to Homotopy Theory
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Sprache:Englisch
Fr. 93.90
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Format
Kopierschutz
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Erscheinungsdatum
25.07.2011
Verlag
Springer New YorkSeitenzahl
344 (Printausgabe)
Dateigröße
5134 KB
Sprache
Englisch
EAN
9781441973290
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; 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.
The underlying theme of the entire book is the Eckmann-Hilton duality theory. 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 advanced ungraduate or graduate algebraic topology course.
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