On Lindelöf property and spread in Cp-theory

Topology and its Applications

Volumn 74, Issue 1-3, 1996, Pages 83-90

  Arhangel'skii, A V ^a,b  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

^b OHIO UNIVERSITY   (United States)

Author keywords

Condensation; Countable network; Hereditary density; Lindel f space; Lindel f space; Martin's axiom; Spread

Indexed keywords

EID: 15844401601     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(97)88245-4     Document Type: Article

References (26)

1. A.V. Arhangel'skii, Topological Function Spaces, Mathematics and its Applications 78 (Kluwer, Dordrecht, 1992) (translated from Russian).
2. A. V. Arhangel'skii, Hereditarily Lindelöf spaces of continuous functions, Moscow Univ. Math. Bull. 44 (1989) 67-69.
3. A.V. Arhangel'skii, Structure and classification of topological spaces and cardinal invariants, Russian Math. Surveys 33 (1978) 33-96.
4. A.V. Arhangel'skii, Relations between cardinal invariants of topological groups and their subspaces, Russian Math. Surveys 35 (1980) 1-23.
5. A.V. Arhangel'skii and V.I. Ponomarev, Fundamentals of General Topology Problems and Exercises (Reidel, 1984) (translated from Russian).
6. Z. Balogh, On compact Hausdorff spaces of countable tightness, Proc. Amer. Math. Soc. 105 (1989) 755-764.
7. D.K. Burke, Covering properties, in: K. Kunen and J.E. Vaughan, eds., Handbook of Set-Theoretic Topology (North-Holland, Amsterdam, 1984) 347-422.
8. R. Engelking, General Topology (PWN, Warsaw, 1977).
9. D.H. Fremlin, K-analytic spaces with metrizable compacta, Mathematica 24 (1979) 257-261.
10. A. Hajnal and I.Juhasz, On hereditarily α-Lindelöf and α-separable spaces, 2, Fund. Math. 81 (1974) 147-158.
11. A. Hajnal and I. Juhasz, A separable normal topological group need not be Lindelöf, General Topology and Appl. 6 (1976) 199-205.
12. A.V. Ivanov, On compacta, all finite powers of which are hereditarily separable, Soviet Math. Dokl. 19 (1978) 1470-1473.
13. K. Kunen, Strong S and L spaces under MA, in: G.M. Reed, ed., Set-Theoretic Topology (Academic Press, New-York, 1977).
14. V.I. Malychin, On the tightness and Souslin number in exp X and in the product spaces, Soviet Math. Dokl. 203 (1972) 1001-1003.
15. K. Nagami, Σ-spaces, Fund. Math. 61 (1969) 169-192.
16. S. Negrepontis, Banach spaces and topology, in: K. Kunen and J.E. Vaughan, eds., Handbook of Set-Theoretic Topology (North-Holland, Amsterdam, 1984) 1047-1142.
17. O.G. Okunev, On Lindelöf sets of continuous functions, Topology Appl. 63 (1995) 91-96.
18. J. Roitman, The spread of regular spaces, General Topology Appl. 8 (1978) 85-91.
19. J. Roitman, Basic S and L, in: K. Kunen and J.E. Vaughan, eds., Handbook of Set-Theoretic Topology (North-Holland, Amsterdam, 1984) 295-326.
20. B.E. Shapirovskij, Special types of embeddings in Tychonoff cubes. Subspaces of products and cardinal invariants, in: Colloq. Math. Soc. Janos Bolyai 23 (North-Holland, Amsterdam, 1980) 1055-1086.
21. B.E. Shapirovskij, On discrete subspaces of topological spaces; weight, tightness, and Souslin number, Soviet. Math. Dokl. 13 (1972) 215-219.
22. Z. Szentmiklóssy, S-spaces and L-spaces under MA, in: Colloq. Math. Soc. Janos Bolyai 23 (North-Holland, Amsterdam, 1980) 1139-1145.
23. S. Todorčević, Forcing positive partition relations, Trans. Amer. Math. Soc. 280 (1983) 703-720.
24. S. Todorčević, Some applications of S and L combinatorics, Ann. New York Acad. Sci. 705 (1993) 130-167.
25. N.V. Velichko, Weak topology of spaces of continuous functions, Math. Notes 30 (1981) 849-854.
26. P. Zenor, Hereditary m-separability and the hereditary m-Lindelöf property in product spaces and function spaces, Fund. Math. 106 (1980) 175-180.