| Title:
|
Locally nice spaces under Martin's axiom (English) |
| Author:
|
Balogh, Zoltán T. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
24 |
| Issue:
|
1 |
| Year:
|
1983 |
| Pages:
|
63-87 |
| . |
| Category:
|
math |
| . |
| MSC:
|
03E50 |
| MSC:
|
54A35 |
| MSC:
|
54C25 |
| MSC:
|
54D15 |
| MSC:
|
54D20 |
| MSC:
|
54D30 |
| MSC:
|
54D45 |
| idZBL:
|
Zbl 0529.54006 |
| idMR:
|
MR703926 |
| . |
| Date available:
|
2008-06-05T21:13:57Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106205 |
| . |
| Reference:
|
[1] ALSTER K., ZENOR P. L.: On the collectionwise normality of generalized manifolds.Topology Proceedings 1 (1976), 125-128. Zbl 0389.54013, MR 0451199 |
| Reference:
|
[2] BURKE D. K.: A nondevelopable locally compact space with a $G_{\delta }$-diagonal.General Topology and Appl. 2 (1972), 287-292. MR 0319156 |
| Reference:
|
[3] BURKE D. K.: Closed mappings.in: Surveys in general topology (ed. G. M. Reed, Academic Press 1980), 1-32. Zbl 0441.54005, MR 0564098 |
| Reference:
|
[4] CHABER J.: Conditions which imply compactness in countably compact spaces.Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 24 (1976), 993-998. MR 0515000 |
| Reference:
|
[5] ENGELKING R.: General Topology.Warszawa 1977. Zbl 0373.54002, MR 0500780 |
| Reference:
|
[6] FREMLIN D.: Constqutnces of Martin's Axiom.monograph in preparation. |
| Reference:
|
[7] GERLITZ J.: On $G_{\delta }$ p-spaces.int Topics in Topology, North-Holland (Amsterdam) and Bolyai Society (Budapest) 1974, pp. 341-346. MR 0362234 |
| Reference:
|
[8] GRUENHAGE G.: Some results on spaces haring an orthobase or a base of subinfinite rank.Topology Proceedings 2 (1977), 151-159. MR 0540602 |
| Reference:
|
[9] GRUENHAGE G.: Paracompactness and subparacompactness in perfectly normal, locally compact spaces.Uspthi Mat. Nauk 35 (1980), No. 3, 44-49 (in Russian), translated by A. V. Arhangel'skii. Zbl 0478.54018, MR 0580619 |
| Reference:
|
[10] JUHÁSZ I.: Cardinal functions in topology.Math. Centre Tract 34, Amsterdam 1971. MR 0340021 |
| Reference:
|
[11] JUHÁSZ I., KUNEN K., RUDIN M. E.: Two more hereditarily separable non-Lindelöf spaces.Can. J. Math. 28 (1976), 998-1005. MR 0428245 |
| Reference:
|
[12] JUNNILLA H.: .letter to the author. |
| Reference:
|
[13] KUNEN K.: Set theory.(An introduction to independence proofs), North-Holland, Amsterdam - New York - Oxford 1980. Zbl 0443.03021, MR 0597342 |
| Reference:
|
[14] LANE D. J.: Paracompactness in perfectly normal, locally connected, looally compact spaces.Proc. Amer. Math. Soc. 80 (1980), 693-696. MR 0587957 |
| Reference:
|
[15] NYIKOS P.: Notes on hereditarily normal spaces.handwritten notes. |
| Reference:
|
[16] NYIKOS P.: Set-theoretic topology of manifolds.preprint. Zbl 0513.54001, MR 0698452 |
| Reference:
|
[17] RUDIN M. E.: Set-theoretic topology.AMS Regional conference Series in Mathematics No. 23, Providence, Rhode Island 1975. Zbl 0318.54001 |
| Reference:
|
[18] RUDIN M. E.: Martin's Axiom.ins Handbook of Mathematical Logic, North-Holland, Amsterdam - New York - Oxford 1977. MR 0457132 |
| Reference:
|
[19] RUDIN M. E., ZENOR P.: A perfectly normal nonmetricabloe manifold.Houston J. of Mathamatica 2 (1976), 129-134. MR 0394560 |
| Reference:
|
[20] RUDIN M. E.: The undecidability of the existence of a perfectly normal nonmetricable manifold.Houston J. Mathematics 5 (1979), 249-252. MR 0546759 |
| Reference:
|
[21] SZENTMIKLÓSSY Z.: $S$-spaces and $L$-spaces under Martin's Axiom.in: Topology (ed. Á. Császár, North-Holland, 1980), Vol. II, 1139-1146. Zbl 0463.54005, MR 0588860 |
| Reference:
|
[22] WEISS W.: A countably paracompact nonnormal space.Proc. Amer. Math. Soc. 79 (1980), 487-490. Zbl 0437.54027, MR 0567999 |
| . |
