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Transactions of the American Mathematical Society

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

 

 

Topological properties of subanalytic sets


Author: Robert M. Hardt
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
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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.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1975-0379882-8
Keywords: Stratification, semianalytic, subanalytic, subanalytic chain, slice, intersection
Article copyright: © Copyright 1975 American Mathematical Society