Introduction to Homotopy Theory
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ISBN-13:
9781441973283
Veröffentl:
2011
Erscheinungsdatum:
25.07.2011
Seiten:
344
Autor:
Martin Arkowitz
Gewicht:
522 g
Format:
237x154x23 mm
Sprache:
Englisch
Beschreibung:
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:
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.
1 Basic Homotopy.- 2 H-Spaces and Co-H-Spaces.- 3 Cofibrations and Fibrations.- 4 Exact Sequences.- 5 Applications of Exactness.- 6 Homotopy Pushouts and Pullbacks.- 7 Homotopy and Homology Decompositions.- 8 Homotopy Sets.- 9 Obstruction Theory.- A Point-Set Topology.- B The Fundamental Group.- C Homology and Cohomology.- D Homotopy Groups and the n-Sphere.- E Homotopy Pushouts and Pullbacks.- F Categories and Functors.- Hints to Some of the Exercises.- References.- Index.
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