A -manifold local-compactification of a metric combinatorial -manifold

Author:
Katsuro Sakai

Journal:
Proc. Amer. Math. Soc. **100** (1987), 775-780

MSC:
Primary 57N20; Secondary 54E45, 54F40, 57Q15

MathSciNet review:
894453

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Abstract: Let be a combinatorial -manifold, that is, a countable simplicial complex such that the star of each vertex is combinatorially equivalent to the countable-infinite full simplicial complex. Then the space with the metric topology is a manifold modeled on the space , where is the subspace of the Hilbert cube which consists of all points having at most finitely many nonzero coordinates. In this paper, we give a local-compactification of which is a -stable -manifold containing as an f.d. cap set.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1987-0894453-6

Keywords:
Simplicial complex,
combinatorial -manifold,
metric topology,
localcompactification,
-manifold,
-manifold,
-stable,
f.d. cap set,
-set,
ANR

Article copyright:
© Copyright 1987
American Mathematical Society