New PDF release: Introduction to Homotopy Theory (Universitext)

By Martin Arkowitz

ISBN-10: 1441973281

ISBN-13: 9781441973283

it is a ebook in natural arithmetic facing homotopy concept, one of many major branches of algebraic topology. The primary subject matters are as follows: simple Homotopy; H-spaces and co-H-spaces; fibrations and cofibrations; detailed sequences of homotopy units, activities, and coactions; homotopy pushouts and pullbacks; classical theorems, together with these of Serre, Hurewicz, Blakers-Massey, and Whitehead; homotopy units; homotopy and homology decompositions of areas and maps; and obstruction conception. The underlying subject of the total ebook is the Eckmann-Hilton duality idea. it really is assumed that the reader has had a few publicity to the rudiments of homology conception and basic staff thought. those themes are mentioned within the appendices. The publication can be utilized as a textual content for the second one semester of a sophisticated ungraduate or graduate algebraic topology course.

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