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New Mathematical Monographs: Series Number 25: Cubical Homotopy Theory
Brian A. Munson
€ 111.91
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Description for New Mathematical Monographs: Series Number 25: Cubical Homotopy Theory
hardcover. A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces. Series: New Mathematical Monographs. Num Pages: 644 pages, 20 b/w illus. BIC Classification: PBPD. Category: (U) Tertiary Education (US: College). Dimension: 228 x 152 x 38. Weight in Grams: 1010.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2015
Publisher
Cambridge University Press United Kingdom
Number of pages
644
Condition
New
Series
New Mathematical Monographs
Number of Pages
644
Place of Publication
Cambridge, United Kingdom
ISBN
9781107030251
SKU
V9781107030251
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-8
About Brian A. Munson
Brian A. Munson is an Assistant Professor of Mathematics at the US Naval Academy. He has held postdoctoral and visiting positions at Stanford University, Harvard University, and Wellesley College, Massachusetts. His research area is algebraic topology, and his work spans topics such as embedding theory, knot theory, and homotopy theory. Ismar Volic is an Associate Professor of Mathematics at Wellesley ... Read more
Reviews for New Mathematical Monographs: Series Number 25: Cubical Homotopy Theory
'... this volume can serve as a good point of reference for the machinery of homotopy pullbacks and pushouts of punctured n-cubes, with all the associated theory that comes with it, and shows with clarity the interest these methods have in helping to solve current, general problems in homotopy theory. Chapter 10, in particular, proves that what is presented here ... Read more