Geodesic
Closed mapping theorems on $k$-spaces with point-countable $k$-networks
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 77-87

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We prove some closed mapping theorems on $k$-spaces with point-countable $k$-networks. One of them generalizes La\v snev's theorem. We also construct an example of a Hausdorff space $Ur$ with a countable base that admits a closed map onto metric space which is not compact-covering. Another our result says that a $k$-space $X$ with a point-countable $k$-network admitting a closed surjection which is not compact-covering contains a closed copy of $Ur$.
Classification : 54A20, 54B10, 54C10
Keywords: $k$-space; $k$-network; closed map; compact-covering map 
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     title = {Closed mapping theorems on $k$-spaces with point-countable $k$-networks},
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Shibakov, A. Closed mapping theorems on $k$-spaces with point-countable $k$-networks. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 77-87. http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a10/