Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological spaces with an emphasis on cubical diagrams. The book contains 300 examples and provides detailed explanations of many fundamental results. Part I focuses on foundational material on homotopy theory, viewed through the lens of cubical diagrams: fibrations and cofibrations, homotopy pullbacks and pushouts, and the Blakers-Massey Theorem. Part II includes a brief example-driven introduction ...
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Graduate students and researchers alike will benefit from this treatment of classical and modern topics in homotopy theory of topological spaces with an emphasis on cubical diagrams. The book contains 300 examples and provides detailed explanations of many fundamental results. Part I focuses on foundational material on homotopy theory, viewed through the lens of cubical diagrams: fibrations and cofibrations, homotopy pullbacks and pushouts, and the Blakers-Massey Theorem. Part II includes a brief example-driven introduction to categories, limits and colimits, an accessible account of homotopy limits and colimits of diagrams of spaces, and a treatment of cosimplicial spaces. The book finishes with applications to some exciting new topics that use cubical diagrams: an overview of two versions of calculus of functors and an account of recent developments in the study of the topology of spaces of knots.
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Add this copy of Cubical Homotopy Theory to cart. $74.03, Sold by Books International rated 4.0 out of 5 stars, ships from Toronto, ON, CANADA, published 2015 by Cambridge University Press.
Add this copy of Cubical Homotopy Theory to cart. $108.30, new condition, Sold by discount_scientific_books rated 3.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2015 by Cambridge University Press.
Add this copy of Cubical Homotopy Theory (New Mathematical Monographs, to cart. $168.22, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2015 by Cambridge University Press.
