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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Defining the boundary of a homology manifold


Author: W. J. R. Mitchell
Journal: Proc. Amer. Math. Soc. 110 (1990), 509-513
MSC: Primary 57P05; Secondary 55N35
MathSciNet review: 1019276
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Abstract: We show that the natural homological analogue of the definition of topological manifold with boundary does indeed properly capture the properties required of a homology manifold with boundary. Accordingly existing definitions requiring that the boundary is already a (homology) manifold can be simplified.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1019276-9
PII: S 0002-9939(1990)1019276-9
Keywords: Cohomological dimension, homology manifold, manifold with boundary, sheaf cohomology, Borel-Moore homology
Article copyright: © Copyright 1990 American Mathematical Society