An example of a fake $s$-manifold with a nice locally contractible compactification
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- by Philip L. Bowers PDF
- Proc. Amer. Math. Soc. 98 (1986), 171-174 Request permission
Abstract:
An example is constructed of a topologically complete separable AR $X$ that satisfies the discrete $n$-cells property for each nonnegative integer $n$ but fails to satisfy the discrete approximation property and be homeomorphic to $s$ even though $X$ arises as the complement of a $\sigma$-$Z$-set in a locally contractible compactum. Such examples are not possible in the setting of ANR compactifications.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 171-174
- MSC: Primary 57N20; Secondary 54B17
- DOI: https://doi.org/10.1090/S0002-9939-1986-0848898-X
- MathSciNet review: 848898