| Title:
|
On subspaces of pseudo-radial spaces (English) |
| Author:
|
Zhou, Jin-Yuan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
583-586 |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
pseudo-radial spaces |
| Keyword:
|
prime spaces |
| Keyword:
|
sub pseudo-radial spaces |
| Keyword:
|
tightness |
| Keyword:
|
Martin's Axiom |
| MSC:
|
54A20 |
| MSC:
|
54A35 |
| MSC:
|
54B05 |
| MSC:
|
54D99 |
| idZBL:
|
Zbl 0796.54011 |
| idMR:
|
MR1243090 |
| . |
| Date available:
|
2009-01-08T18:06:32Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118615 |
| . |
| Reference:
|
[1] Arhangel'skii A.V., Isler R., Tironi G.: On pseudo-radial spaces.Comment. Math. Univ. Carolinae 27 (1986), 137-154. MR 0843426 |
| Reference:
|
[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. Zbl 0492.54003, MR 0698465 |
| Reference:
|
[3] Franklin S.P., Rajagopalan M.: On subsequential spaces.Topology Appl. 35 (1990), 1-19. Zbl 0722.54021, MR 1049858 |
| Reference:
|
[4] Fremlin D.H.: Consequences of Martin's Axiom.Cambridge Tracts in Mathematics, Cambridge, 1984. Zbl 1156.03050 |
| Reference:
|
[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. Zbl 0485.54003, MR 0647028 |
| . |
