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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Whitney stratified chains and cochains
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by R. Mark Goresky PDF
Trans. Amer. Math. Soc. 267 (1981), 175-196 Request permission

Abstract:

This paper contains the technical constructions necessary for a "geometric cycle" definition of cohomology and homology in the context of Whitney stratifications. Cup and cap products are interpreted as the transverse intersection of geometric cocycles and cycles.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 267 (1981), 175-196
  • MSC: Primary 58A35; Secondary 55N99, 57N80, 57R95
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0621981-X
  • MathSciNet review: 621981