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Parametrized Homotopy Theory (Mathematical Surveys and Monographs)

J. P. May and J. Sigurdsson




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 | #4670815 in Books |  2006-12-12 |  2006-12-12 | Original language:English |  10.00 x7.00 x1.00l,2.05 | File type: PDF | 441 pages

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This book develops rigorous foundations for parametrized homotopy theory, which is the algebraic topology of spaces and spectra that are continuously parametrized by the points of a base space. It also begins the systematic study of parametrized homology and cohomology theories. The parametrized world provides the natural home for many classical notions and results, such as orientation theory, the Thom isomorphism, Atiyah and Poincaré duality, transfer maps, the A...

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