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- W2950879107 abstract "For every space $X$ let $mathcal K(X)$ be the set of all compact subsets of $X$. Christensen cite{c:74} proved that if $X, Y$ are separable metrizable spaces and $Fcolonmathcal{K}(X)tomathcal{K}(Y)$ is a monotone map such that any $Linmathcal{K}(Y)$ is covered by $F(K)$ for some $Kinmathcal{K}(X)$, then $Y$ is complete provided $X$ is complete. It is well known cite{bgp} that this result is not true for non-separable spaces. In this paper we discuss some additional properties of $F$ which guarantee the validity of Christensen's result for more general spaces." @default.
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- W2950879107 date "2008-01-11" @default.
- W2950879107 modified "2023-09-27" @default.
- W2950879107 title "A non-separable Christensen's theorem and set tri-quotient maps" @default.
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