Lectures on differential topology

Lectures on differential topology

by Benedetti, Riccardo

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Title Statements

  • Full title :Lectures on differential topology / Riccardo Benedetti.

Summary

"The pdf contains a draft title page, draft copyright page and a draft manuscript"--.

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Edition Statements

  • Publication Date:2021

Publication Statements

The Physical Object

  • Description:xxix, 425 Seiten : : Illustrationen ; : 27 cm

Edition Identifiers

  • ISBN:9781470466749, 9781470462710, 1470466740, 1470462710
  • oclc:on1344259610
  • Dewey Decimal:514.72

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 -- Appendix : baby categories.

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