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Proceedings of the American Mathematical Society

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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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Keywords: Cohomological dimension, homology manifold, manifold with boundary, sheaf cohomology, Borel-Moore homology
Article copyright: © Copyright 1990 American Mathematical Society