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- W2018391909 abstract "All spaces here are Tychonoff spaces. The class AE(0) consists of those spaces which are absolute extensors for compact zero-dimensional spaces. We define and study here the subclass AE(0)rp, consisting of those spaces for which extensions of continuous functions can be chosen to have the same range. We prove these results. If each point of T 2 AE(0) is a G-point of T , then T 2 AE(0)rp. These are equivalent: (a) T 2 AE(0)rp; (b) every compact subspace of T is metrizable; (c) every compact subspace of T is dyadic; and (d) every subspace of T is AE(0). Thus in particular, every metrizable space is an AE(0)rp-space." @default.
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- W2018391909 date "2013-07-23" @default.
- W2018391909 modified "2023-10-16" @default.
- W2018391909 title "Range-preserving AE(0)-spaces" @default.
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- W2018391909 doi "https://doi.org/10.4995/agt.2013.1614" @default.
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