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Lectures on differential topology /

Bibliographic Details
Main Author: Benedetti, R. (Author)
Corporate Author: EBSCOhost
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2021]
Series:Graduate studies in mathematics ; v. 218.
Subjects:
Differential topology.
Topologie différentielle.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • The smooth category of open subsets of Euclidean spaces
  • The category of embedded smooth manifolds
  • Stifel and Grassmann manifolds
  • The category of smooth manifolds
  • Tautological bundles and pull-back
  • Compact embedded smooth manifolds
  • Cut and paste compact manifolds
  • Transversality
  • Morse functions and handle decompositions
  • Bordism
  • Smooth cobordism
  • Applications of cobordism rings
  • Line bundles, hypersurfaces, and cobordism
  • Euler-Poincaré characteristic
  • Surfaces
  • Bordism characteristic numbers
  • The Pontryagin-Thom construction
  • High-dimensional manifolds
  • On 3-manifolds
  • On 4-manifolds.