Nonseparable Radon measures and small compact spaces

Fundamenta Mathematicae

Volumn 153, Issue 1, 1997, Pages 25-40

  Plebanek, Grzegorz ^a  

^a INSTITUTE OF MATHEMATICS   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031473703     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. S. Argyros, S. Mercourakis and S. Negrepontis, Functional-analytic properties of Corson-compact spaces, Studia Math. 89 (1988), 197-229.
2. T. Bartoszyński and H. Judah, Set Theory: on the structure of the real line, A. K. Peters, 1995.
3. T. Bartoszyński and S. Shelah, Closed measure zero sets, Ann. Pure Appl. Logic 58 (1992), 93-110.
4. J. Brendle, H. Judah and S. Shelah, Combinatorial properties of Hechler forcing, Ann. Pure Appl. Logic 58 (1992), 185-199.
5. J. Cichoń, A. Kamburelis and J. Pawlikowski, On dense subsets of the measure algebra, Proc. Amer. Math. Soc. 94 (1985), 142-146.
6. J. Cichoń, A. Szymański and B. Wȩglorz, On intersections of sets of positive Lebesgue measure, Colloq. Math. 52 (1987), 173-177.
7. W. W. Comfort and S. Negrepontis, Chain Conditions in Topology, Cambridge Univ. Press, 1982.
8. R. G. Douglas, On extremal measures and subspace density, Michigan Math. J. 11 (1964), 243-246.
9. M. Džamonja and K. Kunen, Measures on compact HS spaces, Fund. Math. 143 (1993), 41-54.
10. _, _, Properties of the class of measure separable compact spaces, ibid. 147 (1995), 261-277.
11. D. H. Fremlin, Consequences of Martin's Axiom, Cambridge Univ. Press, Cambridge, 1984.
12. _, Measure algebras, in: Handbook of Boolean Algebras, J. D. Monk (ed.), North-Holland, 1989, Vol. 3, Chap. 22, 877-980.
13. _, Real-valued measurable cardinals, in: Israel Math. Conf. Proc. 6, 1993, 961-1044.
14. 1(τ) and types of measures on compact spaces, Israel J. Math. 28 (1977) 313-324.
15. 1-spaces and injective bidual Banach spaces, ibid. 31 (1978) 142-152.
16. K. Kunen, Set Theory, Stud. Logic 102, North-Holland, 1980.
17. _, A compact L-space under CH, Topology Appl. 12 (1981), 283-287.
18. K. Kunen and J. van Mill, Measures on Corson compact spaces, Fund. Math. 147 (1995), 61-72.
19. G. Plebanek, Compact spaces that result from adequate families of sets, Topology Appl. 65 (1995), 257-270.
20. _, On Radon measures on first-countable spaces, Fund. Math. 148 (1995), 159-164.
21. Z. Semadeni, Banach Spaces of Continuous Functions, PWN, Warszawa, 1971.
22. B. E. Shapirovskiǐ, Special types of embeddings in Tychonoff cubes. Subspaces of Σ-products and cardinal invariants, in: Á. Császár (ed.), Topology, Vol. II, North-Holand, Amsterdam, 1980, 1055-1086.
23. J. E. Vaughan, Small uncountable cardinals and topology, in: Open Problems in Topology, J. van Mill and G. M. Reed (eds.), North-Holland, 1990, Chapter 11, 195-216.