Spaces for which the generalized Cantor space $2^{J}$ is a remainder
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- by Yusuf Ünlü PDF
- Proc. Amer. Math. Soc. 86 (1982), 673-678 Request permission
Abstract:
Let $X$ be a locally compact noncompact space, $m$ be an infinite cardinal and $| J | = m$. Let $F(X)$ be the algebra of continuous functions from $X$ into ${\mathbf {R}}$ which have finite range outside of an open set with compact closure and let $I(X) = \{ g \in F(X):g$ vanishes outside of an open set with compact closure}. Conditions on $R(X) = F(X)/I(X)$ and internal conditions are obtained which characterize when $X$ has ${2^J}$ as a remainder.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 673-678
- MSC: Primary 54D35; Secondary 54D40
- DOI: https://doi.org/10.1090/S0002-9939-1982-0674104-1
- MathSciNet review: 674104