Observations on spaces with zeroset or regular $G_\delta$-diagonals
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 469-473
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We show that if $X^2$ has countable extent and $X$ has a zeroset diagonal then $X$ is submetrizable. We also make a couple of observations regarding spaces with a regular $G_\delta$-diagonal.
We show that if $X^2$ has countable extent and $X$ has a zeroset diagonal then $X$ is submetrizable. We also make a couple of observations regarding spaces with a regular $G_\delta$-diagonal.
Classification :
54A25, 54E35, 54E99
Keywords: zeroset diagonal; regular $G_\delta$-diagonal; submetrizable; countable extent
Keywords: zeroset diagonal; regular $G_\delta$-diagonal; submetrizable; countable extent
@article{CMUC_2005_46_3_a8,
author = {Buzyakova, Raushan Z.},
title = {Observations on spaces with zeroset or regular $G_\delta$-diagonals},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {469--473},
year = {2005},
volume = {46},
number = {3},
mrnumber = {2174525},
zbl = {1121.54051},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a8/}
}
TY - JOUR AU - Buzyakova, Raushan Z. TI - Observations on spaces with zeroset or regular $G_\delta$-diagonals JO - Commentationes Mathematicae Universitatis Carolinae PY - 2005 SP - 469 EP - 473 VL - 46 IS - 3 UR - http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a8/ LA - en ID - CMUC_2005_46_3_a8 ER -
Buzyakova, Raushan Z. Observations on spaces with zeroset or regular $G_\delta$-diagonals. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 469-473. http://geodesic.mathdoc.fr/item/CMUC_2005_46_3_a8/