Closed mapping theorems on $k$-spaces with point-countable $k$-networks
Shibakov, Alexander
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995), p. 77-87 / Harvested from Czech Digital Mathematics Library
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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 $Ur$.

Publié le : 1995-01-01
Classification:  54A20,  54B10,  54C10 
@article{118734,
     author = {Alexander Shibakov},
     title = {Closed mapping theorems on $k$-spaces with point-countable $k$-networks},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {36},
     year = {1995},
     pages = {77-87},
     zbl = {0832.54011},
     mrnumber = {1334416},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118734}
}

Shibakov, Alexander. Closed mapping theorems on $k$-spaces with point-countable $k$-networks. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) pp. 77-87. http://gdmltest.u-ga.fr/item/118734/

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