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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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Topological properties of subanalytic sets
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by Robert M. Hardt PDF
Trans. Amer. Math. Soc. 211 (1975), 57-70 Request permission

Abstract:

The stratification of a semianalytic or subanalytic set (that is, a set which locally is the proper analytic image of some semianalytic set) leads easily, by consecutive projections in Euclidean space, to a CW decomposition. In the category of subanalytic sets and continuous maps with subanalytic graphs, theories of slicing, intersection, and homology result through use of the topological chains defined by subanalytic sets.
References
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Additional Information
  • © Copyright 1975 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 211 (1975), 57-70
  • MSC: Primary 32B20; Secondary 32C05
  • DOI: https://doi.org/10.1090/S0002-9947-1975-0379882-8
  • MathSciNet review: 0379882