Closed mapping theorems on $k$-spaces with point-countable $k$-networks

Shibakov, Alexander. "Closed mapping theorems on $k$-spaces with point-countable $k$-networks." Commentationes Mathematicae Universitatis Carolinae 36.1 (1995): 77-87. <http://eudml.org/doc/247767>.

@article{Shibakov1995,
abstract = {We prove some closed mapping theorems on $k$-spaces with point-countable $k$-networks. One of them generalizes Lašnev’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 $Ur$.},
author = {Shibakov, Alexander},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {$k$-space; $k$-network; closed map; compact-covering map; compact-covering map; -network; -network; -space; closed map},
language = {eng},
number = {1},
pages = {77-87},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Closed mapping theorems on $k$-spaces with point-countable $k$-networks},
url = {http://eudml.org/doc/247767},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Shibakov, Alexander
TI - Closed mapping theorems on $k$-spaces with point-countable $k$-networks
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 1
SP - 77
EP - 87
AB - We prove some closed mapping theorems on $k$-spaces with point-countable $k$-networks. One of them generalizes Lašnev’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 $Ur$.
LA - eng
KW - $k$-space; $k$-network; closed map; compact-covering map; compact-covering map; -network; -network; -space; closed map
UR - http://eudml.org/doc/247767
ER -