Topological Games and Applications

North-Holland Mathematical Library

Volumn 41, Issue C, 1989, Pages 523-562

  Yajima, Yukinobu ^a  

^a KANAGAWA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956945626     PISSN: 09246509     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0924-6509(08)70159-4     Document Type: Article

References (48)

1. Basmanov, V.N., Inductive dimensions of products of spaces. Vestnik Moskov. Univ. Ser. 1 Mat. Mekh. 36 (1981), 17–20.
2. Bing, R.H., Metrization of topological spaces. Canad. J. Math. 3 (1951), 175–186.
3. Ciesielski, K., L-space without any uncountable O-dimensional subspace. Fund. Math. 125 (1985), 231–235.
4. Engelking, R., General Topology, 1977, Polish Scientific Publishers, Warszawa.
5. Engelking, R., Dimension Theory, 1978, North-Holland, Amsterdam.
6. Galvin, F., Indeterminacy of point-open games. Bull. Acad. Polon. Sci. Ser. Math. 26 (1979), 445–449.
7. Galvin, F., Telgársky, R., Stationary strategies in topological games. Topology Appl. 22 (1986), 51–69.
8. Gruenhage, G., Yajima, Y., A filter property of submetacompactness and its application to products. Topology Appl., 1988 to appear.
9. Hattori, Y., A note on infinite dimensional spaces defined by topological games. Proc. AMS 94 (1985), 360–362.
10. Junnila, H.J.K., Stratifiable pre-images of topological spaces. Csaszar, A., (eds.) Colloquia Mathematica Societas János Bolyai, 23, 1978, North-Holland, Amsterdam, 689–703.
11. Junnila, H.J.K., On submetacompactness. Topology Proc. 3 (1978), 375–403.
12. Junnila, H.J.K., Metacompactness, paracompactness and interior-preserving covers. Trans. AMS 249 (1979), 373–385.
13. Junnila, H.J.K., Nogura, T., Telgarsky, R., A singular space related to the point-open game. Proc. AMS 99 (1987), 568–570.
14. Junnila, H.J.K., Smith, J.C., Telgársky, R., Closure-preserving covers by small sets. Topology Appl. 23 (1986), 237–262.
15. Katuta, Y., On the normality of the product of a normal space with a paracompact space. General Topology Appl. 1 (1971), 295–319.
16. Katuta, Y., On spaces which admit closure-preserving covers by compact sets. Proc. Japan Acad. 50 (1974), 826–828.
17. Michael, E., Point-finite and locally finite coverings. Canad. J. Math. 7 (1955), 275–279.
18. Morita, K., Products of normal spaces with metric spaces. Math. Ann. 154 (1964), 365–382.
19. Nagami, K., Some theorems in dimension theory for non-separable spaces. J. Math. Soc. Japan 9 (1957), 80–92.
20. Nagata, J., Product theorems in dimension theory. Bull. Acad. Polon. Sci. Ser. Math. 15 (1967), 439–448.
21. Nagata, J., Product theorems in dimension theory. Modern General Topology, 1985, North-Holland, Amsterdam.
22. Nogura, T., A compact-like space which does not have a countable cover by C-scattered closed subsets. Proc. Japan Acad. 59 (1983), 83–84.
23. Nyikos, P., Covering properties on σ-scattered spaces. Topology Proc. 2 (1977), 509–542.
24. Ohta, H., On normal, non-rectangular products. Quart. J. Math. Oxford 32 (1981), 339–344.
25. Pasynkov, B.A., On the dimension of rectangular products. Soviet Math. Dokl. 16 (1975), 344–347.
26. Pasynkov, B.A., Factorization theorems in dimension theory. Russian Math. Surveys 36 (1981), 175–209.
27. Pears, A.R., Dimension Theory of General Spaces, 1975, Cambridge Univ. Press.
28. Peregudov, S.A., On normal spaces which admit a closure-preserving cover by bicompact sets. Vestnik Moskov. Univ. Ser. I Mat. Mekh. 5 (1974), 40–42.
29. Potoczny, H.B., A non-paracompact space which admits a closure-preserving cover of compact sets. Proc. AMS 32 (1972), 309–311.
30. Potoczny, H.B., Closure-preserving families of compact sets. General Topology Appl. 3 (1973), 243–248.
31. Potoczny, H., Junnila, H., Closure-preserving families and metacompactness. Proc. AMS 53 (1975), 523–529.
32. Tamano, H., On compactifications. J. Math. Kyoto Univ. 1 (1962), 161–193.
33. Tamano, H., A characterization of paracompactness. Fund. Math. 72 (1971), 189–201.
34. Telgarsky, R., C-scattered and paracompact spaces. Fund. Math. 73 (1971), 59–74.
35. Telgarsky, R., Closure-preserving covers. Fund. Math. 85 (1974), 165–175.
36. Telgarsky, R., Spaces defined by topological games. Fund. Math. 88 (1975), 193–223.
37. Telgarsky, R., A characterization of P-spaces. Proc. Japan Acad. 51 (1975), 802–807.
38. Telgarsky, R., Concerning two covering properties. Colloq. Math. 36 (1976), 57–61.
39. Telgarsky, R., Spaces denned by topological games II. Fund. Math. 116 (1983), 189–207.
40. Telgarsky, R., Topological games: On the 50th Anniversary of the Banach-Mazur game. Rocky Mountain J. Math. 17 (1987), 227–276.
41. Telgársky, R., Yajima, Y., On order locally finite and closure-preserving covers. Fund. Math. 109 (1980), 211–216.
42. Yajima, Y., On spaces which have a closure-preserving cover by finite sets. Pacific J. Math. 69 (1977), 571–578.
43. Yajima, Y., On order star-finite and closure-preserving covers. Proc. Japan. Acad. 55 (1979), 19–21.
44. Yajima, Y., A note on order locally finite and closure-preserving covers. Bull. Acad. Polon. Sci. Ser. Math. 27 (1979), 401–405.
45. Yajima, Y., Topological games and products I. Fund. Math. 113 (1981), 141–153.
46. Yajima, Y., Topological games and products II. Fund. Math. 117 (1983), 47–60.
47. Yajima, Y., Topological games and products III. Fund. Math. 117 (1983), 223–238.
48. Yajima, Y., Notes on topological games. Fund. Math. 121 (1984), 31–40.