Cubical Homotopy Theory

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Cubical Homotopy Theory by Brian A. Munson, Ismar Volić, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Brian A. Munson, Ismar Volić ISBN: 9781316348932
Publisher: Cambridge University Press Publication: October 6, 2015
Imprint: Cambridge University Press Language: English
Author: Brian A. Munson, Ismar Volić
ISBN: 9781316348932
Publisher: Cambridge University Press
Publication: October 6, 2015
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Leo Strauss by Brian A. Munson, Ismar Volić
Cover of the book China's Conservative Revolution by Brian A. Munson, Ismar Volić
Cover of the book Thomas Jefferson and American Nationhood by Brian A. Munson, Ismar Volić
Cover of the book The Cambridge Companion to Edgar Allan Poe by Brian A. Munson, Ismar Volić
Cover of the book Management across Cultures by Brian A. Munson, Ismar Volić
Cover of the book Collective Security by Brian A. Munson, Ismar Volić
Cover of the book Gas Turbine Emissions by Brian A. Munson, Ismar Volić
Cover of the book Intellectual Shamans by Brian A. Munson, Ismar Volić
Cover of the book Opera in the Novel from Balzac to Proust by Brian A. Munson, Ismar Volić
Cover of the book Economics of Agglomeration by Brian A. Munson, Ismar Volić
Cover of the book Cryptography and Secure Communication by Brian A. Munson, Ismar Volić
Cover of the book The Art of Medicine in Early China by Brian A. Munson, Ismar Volić
Cover of the book Financial Markets and Institutions by Brian A. Munson, Ismar Volić
Cover of the book Multination States in Asia by Brian A. Munson, Ismar Volić
Cover of the book Freedom in a Slave Society by Brian A. Munson, Ismar Volić
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy