New Mathematical Monographs : Cubical Homotopy Theory Series Number 25, Hardback Book

New Mathematical Monographs : Cubical Homotopy Theory Series Number 25 Hardback


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.


  • Format: Hardback
  • Pages: 644 pages, Worked examples or Exercises; 10 Halftones, black and white; 10 Line drawings, black and
  • Publisher: Cambridge University Press
  • Publication Date:
  • Category: Algebraic topology
  • ISBN: 9781107030251



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