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- W2015776688 abstract "Denote by $sigma$ the subspace of the Hilbert cube consisting of ${ (x_i): x_i = 0$ for all but finitely many $i$}. Then following characterization of manifolds modeled on $sigma$ is proven and applied to cell-like, upper semicontinuous decompositions of $sigma$-manifolds. An ANR $X$ is a $sigma$-manifold if and only if (a) $X$ is the countable union of finite-dimensional compacta, (b) each compact subset of $X$ is a strong $Z$-set, and (c) for each positive integer $k$, every mapping $f:{R^k} to X$ can be arbitrarily closely approximated by an injection." @default.
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- W2015776688 date "1985-04-01" @default.
- W2015776688 modified "2023-09-25" @default.
- W2015776688 title "Recognizing $sigma$-manifolds" @default.
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- W2015776688 doi "https://doi.org/10.1090/s0002-9939-1985-0792291-4" @default.
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