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- W2341223792 abstract "We give a characterization of countable discrete subspace $A$ of a topological space $X$ such that there exists a (linear) continuous mapping $varphi:C_p^*(A)to C_p(X)$ with $varphi(y)|_A=y$ for every $yin C_p^*(A)$. Using this characterization we answer two questions of A.~Arhangel'skii. Moreover, we introduce the notion of well-covered subset of a topological space and prove that for well-covered functionally closed subset $A$ of a topological space $X$ there exists a linear continuous mapping $varphi:C_p(A)to C_p(X)$ with $varphi(y)|_A=y$ for every $yin C_p(A)$." @default.
- W2341223792 created "2016-06-24" @default.
- W2341223792 creator A5021827340 @default.
- W2341223792 date "2016-04-21" @default.
- W2341223792 modified "2023-10-14" @default.
- W2341223792 title "Continuous extension of functions from countable sets" @default.
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- W2341223792 doi "https://doi.org/10.48550/arxiv.1604.06178" @default.
- W2341223792 hasPublicationYear "2016" @default.
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