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Countable tightness and proper forcing
Author(s):
Z.
Balogh;
A.
Dow;
D. H.
Fremlin;
P. J.
Nyikos
Journal:
Bull. Amer. Math. Soc.
19
(1988),
295-298.
MSC (1980):
Primary 54D30;
Secondary 54A25, 54A35, 03E35, 03E50, 03E65
MathSciNet review:
940491
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Additional information
References:
- 1.
- R. C. Moore and S. G. Mrówka, Topologies determined by countable objects, Notices Amer. Math. Soc. 11 (1964), 554.
- 2.
- H. S. Bear and B. Yood, Multiplicative Junctionals on semigroups of continuous functions, Proc. Amer. Math. Soc. 10 (1959), 736-741. MR 108713
- 3.
- A. V. Arhangel'skii, Structure and classification of topological spaces and cardinal invariants, Uspekhi Mat. Nauk. 33: 6 (1978), 29-84 = Russian Math. Surveys 33: 6 (1978), 33-96. MR 526012
- 4.
- A. Ostaszewski, On countably compact, perfectly normal spaces, J. London Math. Soc. (2) 14 (1976), 505-516. MR 438292
- 5.
- J. E. Baumgartner, Applications of the proper forcing axiom, Handbook of Set-Theoretic Topology (K. Kunen and J. Vaughan, eds.), North-Holland, 1984, pp. 913-959. MR 776640
- 6.
- S. Shelah, Proper forcing, Lecture Notes in Math., vol. 940, Springer-Verlag, Berlin and New York, 1982. MR 675955
- 7.
- P. Nyikos and M. Ismail, On spaces in which countably compact subsets are closed, and hereditary properties, Topology Appl. 11 (1980), 281-292. MR 585273
- 8.
- S. Todorcević, A note on the proper forcing axiom, Contemp. Math., vol. 31, Amer. Math. Soc. Providence, R. I., 1984, pp. 209-218. MR 763902
- 9.
- Z. Balogh, Locally nice spaces under Martin's Axiom, Comment. Math. Univ. Carolinae 24 (1983), 63-87. MR 703926
- 10.
- P. Nyikos, The theory of nonmetrizable manifolds, Handbook of Set-Theoretic Topology (K. Kunen and J. Vaughan, eds.), North-Holland, 1984, pp. 633-684. MR 776633
- 11.
- V. V. Fedorchuk, Fully closed mappings and a compatibility of some theorems of general topology with the axioms of set theory, Math. USSR-Sb. 99 (1976), 3-33. MR 410631
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54D30, 54A25, 54A35, 03E35, 03E50, 03E65
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(1980):
54D30, 54A25, 54A35, 03E35, 03E50, 03E65
Additional Information:
DOI:
10.1090/S0273-0979-1988-15649-2
PII:
S 0273-0979(1988)15649-2
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