Locally nice spaces under Martin's axiom
Balogh, Zoltan Tibor
Commentationes Mathematicae Universitatis Carolinae, Tome 024 (1983), p. 63-87 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)
Publié le : 1983-01-01
Classification:  03E50,  54A35,  54C25,  54D15,  54D20,  54D30,  54D45 
@article{106205,
     author = {Zoltan Tibor Balogh},
     title = {Locally nice spaces under Martin's axiom},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {024},
     year = {1983},
     pages = {63-87},
     zbl = {0529.54006},
     mrnumber = {703926},
     language = {en},
     url = {http://dml.mathdoc.fr/item/106205}
}

Balogh, Zoltan Tibor. Locally nice spaces under Martin's axiom. Commentationes Mathematicae Universitatis Carolinae, Tome 024 (1983) pp. 63-87. http://gdmltest.u-ga.fr/item/106205/

Alster K.; Zenor P. L. On the collectionwise normality of generalized manifolds, Topology Proceedings 1 (1976), 125-128. (1976) | MR 0451199 | Zbl 0389.54013

Burke D. K. A nondevelopable locally compact space with a $G_{\delta }$-diagonal, General Topology and Appl. 2 (1972), 287-292. (1972) | MR 0319156

Burke D. K. Closed mappings, in: Surveys in general topology (ed. G. M. Reed, Academic Press 1980), 1-32. (1980) | MR 0564098 | Zbl 0441.54005

Chaber J. Conditions which imply compactness in countably compact spaces, Bull. Acad. Polon. Sci. Ser. Sci. Math. Astronom. Phys. 24 (1976), 993-998. (1976) | MR 0515000

Engelking R. General Topology, Warszawa 1977. (1977) | MR 0500780 | Zbl 0373.54002

Fremlin D. Constqutnces of Martin's Axiom, monograph in preparation.

Gerlitz J. On $G_{\delta }$ p-spaces, int Topics in Topology, North-Holland (Amsterdam) and Bolyai Society (Budapest) 1974, pp. 341-346. (1974) | MR 0362234

Gruenhage G. Some results on spaces haring an orthobase or a base of subinfinite rank, Topology Proceedings 2 (1977), 151-159. (1977) | MR 0540602

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) | MR 0580619 | Zbl 0478.54018

Juhász I. Cardinal functions in topology, Math. Centre Tract 34, Amsterdam 1971. (1971) | MR 0340021

Juhász I.; Kunen K.; Rudin M. E. Two more hereditarily separable non-Lindelöf spaces, Can. J. Math. 28 (1976), 998-1005. (1976) | MR 0428245

Junnilla H. , letter to the author.

Kunen K. Set theory, (An introduction to independence proofs), North-Holland, Amsterdam - New York - Oxford 1980. (1980) | MR 0597342 | Zbl 0443.03021

Lane D. J. Paracompactness in perfectly normal, locally connected, looally compact spaces, Proc. Amer. Math. Soc. 80 (1980), 693-696. (1980) | MR 0587957

Nyikos P. Notes on hereditarily normal spaces, handwritten notes.

Nyikos P. Set-theoretic topology of manifolds, preprint. | MR 0698452 | Zbl 0513.54001

Rudin M. E. Set-theoretic topology, AMS Regional conference Series in Mathematics No. 23, Providence, Rhode Island 1975. (1975) | Zbl 0318.54001

Rudin M. E. Martin's Axiom, ins Handbook of Mathematical Logic, North-Holland, Amsterdam - New York - Oxford 1977. (1977) | MR 0457132

Rudin M. E.; Zenor P. A perfectly normal nonmetricabloe manifold, Houston J. of Mathamatica 2 (1976), 129-134. (1976) | MR 0394560

Rudin M. E. The undecidability of the existence of a perfectly normal nonmetricable manifold, Houston J. Mathematics 5 (1979), 249-252. (1979) | MR 0546759

Szentmiklóssy Z. $S$-spaces and $L$-spaces under Martin's Axiom, in: Topology (ed. Á. Császár, North-Holland, 1980), Vol. II, 1139-1146. (1980) | MR 0588860 | Zbl 0463.54005

Weiss W. A countably paracompact nonnormal space, Proc. Amer. Math. Soc. 79 (1980), 487-490. (1980) | MR 0567999 | Zbl 0437.54027