Locally nice spaces under Martin's axiom
Commentationes Mathematicae Universitatis Carolinae (1983)
- Volume: 024, Issue: 1, page 63-87
- ISSN: 0010-2628
Access Full Article
topHow to cite
topBalogh, Zoltan Tibor. "Locally nice spaces under Martin's axiom." Commentationes Mathematicae Universitatis Carolinae 024.1 (1983): 63-87. <http://eudml.org/doc/17229>.
@article{Balogh1983,
author = {Balogh, Zoltan Tibor},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {MA+non CH; locally countable subspace; countably tight compact space; sigma-discrete locally hereditarily Lindelöf, hereditarily sigma- collectionwise Hausdorff space; connected, locally hereditarily Lindelöf, hereditarily normal sigma-collectionwise Hausdorff space; locally compact, locally hereditarily Lindelöf, locally connected, connected space},
language = {eng},
number = {1},
pages = {63-87},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Locally nice spaces under Martin's axiom},
url = {http://eudml.org/doc/17229},
volume = {024},
year = {1983},
}
TY - JOUR
AU - Balogh, Zoltan Tibor
TI - Locally nice spaces under Martin's axiom
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1983
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 024
IS - 1
SP - 63
EP - 87
LA - eng
KW - MA+non CH; locally countable subspace; countably tight compact space; sigma-discrete locally hereditarily Lindelöf, hereditarily sigma- collectionwise Hausdorff space; connected, locally hereditarily Lindelöf, hereditarily normal sigma-collectionwise Hausdorff space; locally compact, locally hereditarily Lindelöf, locally connected, connected space
UR - http://eudml.org/doc/17229
ER -
References
top- ALSTER K., ZENOR P. L., On the collectionwise normality of generalized manifolds, Topology Proceedings 1 (1976), 125-128. (1976) Zbl0389.54013MR0451199
- BURKE D. K., A nondevelopable locally compact space with a -diagonal, General Topology and Appl. 2 (1972), 287-292. (1972) MR0319156
- BURKE D. K., Closed mappings, in: Surveys in general topology (ed. G. M. Reed, Academic Press 1980), 1-32. (1980) Zbl0441.54005MR0564098
- CHABER J., Conditions which imply compactness in countably compact spaces, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 24 (1976), 993-998. (1976) MR0515000
- ENGELKING R., General Topology, Warszawa 1977. (1977) Zbl0373.54002MR0500780
- FREMLIN D., Constqutnces of Martin's Axiom, monograph in preparation.
- GERLITZ J., On p-spaces, int Topics in Topology, North-Holland (Amsterdam) and Bolyai Society (Budapest) 1974, pp. 341-346. (1974) MR0362234
- GRUENHAGE G., Some results on spaces haring an orthobase or a base of subinfinite rank, Topology Proceedings 2 (1977), 151-159. (1977) MR0540602
- 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. (1980) Zbl0478.54018MR0580619
- JUHÁSZ I., Cardinal functions in topology, Math. Centre Tract 34, Amsterdam 1971. (1971) MR0340021
- JUHÁSZ I., KUNEN K., RUDIN M. E., Two more hereditarily separable non-Lindelöf spaces, Can. J. Math. 28 (1976), 998-1005. (1976) MR0428245
- JUNNILLA H., [unknown], letter to the author.
- KUNEN K., Set theory, (An introduction to independence proofs), North-Holland, Amsterdam - New York - Oxford 1980. (1980) Zbl0443.03021MR0597342
- LANE D. J., Paracompactness in perfectly normal, locally connected, looally compact spaces, Proc. Amer. Math. Soc. 80 (1980), 693-696. (1980) MR0587957
- NYIKOS P., Notes on hereditarily normal spaces, handwritten notes.
- NYIKOS P., Set-theoretic topology of manifolds, preprint. Zbl0513.54001MR0698452
- RUDIN M. E., Set-theoretic topology, AMS Regional conference Series in Mathematics No. 23, Providence, Rhode Island 1975. (1975) Zbl0318.54001
- RUDIN M. E., Martin's Axiom, ins Handbook of Mathematical Logic, North-Holland, Amsterdam - New York - Oxford 1977. (1977) MR0457132
- RUDIN M. E., ZENOR P., A perfectly normal nonmetricabloe manifold, Houston J. of Mathamatica 2 (1976), 129-134. (1976) MR0394560
- RUDIN M. E., The undecidability of the existence of a perfectly normal nonmetricable manifold, Houston J. Mathematics 5 (1979), 249-252. (1979) MR0546759
- SZENTMIKLÓSSY Z., -spaces and -spaces under Martin’s Axiom, in: Topology (ed. Á. Császár, North-Holland, 1980), Vol. II, 1139-1146. (1980) Zbl0463.54005MR0588860
- WEISS W., A countably paracompact nonnormal space, Proc. Amer. Math. Soc. 79 (1980), 487-490. (1980) Zbl0437.54027MR0567999
Citations in EuDML Documents
topNotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.