On subspaces of pseudo-radial spaces

Jin Yuan Zhou

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 3, page 583-586
  • ISSN: 0010-2628

Abstract

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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.

How to cite

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Zhou, Jin Yuan. "On subspaces of pseudo-radial spaces." Commentationes Mathematicae Universitatis Carolinae 34.3 (1993): 583-586. <http://eudml.org/doc/247497>.

@article{Zhou1993,
abstract = {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.},
author = {Zhou, Jin Yuan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {pseudo-radial spaces; prime spaces; sub pseudo-radial spaces; tightness; Martin's Axiom; prime spaces; Martin's axiom; tightness; pseudo-radial space},
language = {eng},
number = {3},
pages = {583-586},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On subspaces of pseudo-radial spaces},
url = {http://eudml.org/doc/247497},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Zhou, Jin Yuan
TI - On subspaces of pseudo-radial spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 3
SP - 583
EP - 586
AB - 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.
LA - eng
KW - pseudo-radial spaces; prime spaces; sub pseudo-radial spaces; tightness; Martin's Axiom; prime spaces; Martin's axiom; tightness; pseudo-radial space
UR - http://eudml.org/doc/247497
ER -

References

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  1. Arhangel'skii A.V., Isler R., Tironi G., On pseudo-radial spaces, Comment. Math. Univ. Carolinae 27 (1986), 137-154. (1986) MR0843426
  2. Tironi G., Some remarks on radial and pseudo-radial spaces, in: Proceedings of the Fifth Topological Symposium 1981, ed. by J. Novák, pp. 608-612. Zbl0492.54003MR0698465
  3. Franklin S.P., Rajagopalan M., On subsequential spaces, Topology Appl. 35 (1990), 1-19. (1990) Zbl0722.54021MR1049858
  4. Fremlin D.H., Consequences of Martin's Axiom, Cambridge Tracts in Mathematics, Cambridge, 1984. Zbl1156.03050
  5. Jane I., Meyer P.R., Simon P., Wilson P.G., On tightness in chain-net spaces, Comment. Math. Univ. Carolinae 22 (1981), 809-817. (1981) Zbl0485.54003MR0647028

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