On subspaces of pseudo-radial spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 583-586
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It is proved that, under the Martin's Axiom, every $T_1$-space with countable tightness is a subspace of some pseudo-radial space. We also give several characterizations of subspaces of pseudo-radial spaces and conclude that being a subspace of a pseudo-radial space is a local property.
Classification :
54A20, 54A35, 54B05, 54D99
Keywords: pseudo-radial spaces; prime spaces; sub pseudo-radial spaces; tightness; Martin's Axiom
Keywords: pseudo-radial spaces; prime spaces; sub pseudo-radial spaces; tightness; Martin's Axiom
@article{CMUC_1993__34_3_a20,
author = {Zhou, Jin-Yuan},
title = {On subspaces of pseudo-radial spaces},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {583--586},
publisher = {mathdoc},
volume = {34},
number = {3},
year = {1993},
mrnumber = {1243090},
zbl = {0796.54011},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a20/}
}
Zhou, Jin-Yuan. On subspaces of pseudo-radial spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 583-586. http://geodesic.mathdoc.fr/item/CMUC_1993__34_3_a20/