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A note on functionally compact spaces


Author: Angelo Bella
Journal: Proc. Amer. Math. Soc. 98 (1986), 507-512
MSC: Primary 54D30; Secondary 54C60
DOI: https://doi.org/10.1090/S0002-9939-1986-0857951-6
MathSciNet review: 857951
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Abstract: In this paper we give some characterizations of functionally compact Hausdorff spaces in terms of multifunctions. Also, some applications are presented.


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  • [1] J. Clay and J. Joseph, A characterization of $ C$-compact spaces, Proc. Amer. Math. Soc. 82 (1981), 657-658. MR 614899 (82e:54025)
  • [2] R. F. Dickman and A. Zame, Functionally compact spaces, Pacific J. Math. 31 (1969), 303-311. MR 0259860 (41:4489)
  • [3] R. Engelking, General topology, PWN, Warsaw, 1977. MR 0500780 (58:18316b)
  • [4] L. L. Herrington, Characterizations of functionally compact spaces, J. Austral. Math. Soc. Ser. A 29 (1980), 71-79. MR 566277 (81c:54035)
  • [5] G. Goss and G. Viglino, Some topological properties weaker than compactness, Pacific J. Math. 35 (1970), 635-638. MR 0279770 (43:5491)
  • [6] L. L. Herrington and P. E. Long, Characterizations of $ C$-compact spaces, Proc. Amer. Math. Soc. 52 (1975), 417-426. MR 0388345 (52:9182)
  • [7] T. C. Lominal, Separation properties and $ C$-compact spaces, Notices Amer. Math. Soc. 18 (1971), 214. Abstract 682-54-33.
  • [8] T. C. Lim and K. K. Tan, Functional compactness and $ C$-compactness, J. London Math. Soc. (2) 9 (1974), 371-377. MR 0355968 (50:8441)
  • [9] R. E. Smithson, Multifunctions, Nieuw Arch. Wisk. (3) 30 (1972), 31-53. MR 0305338 (46:4468)
  • [10] G. Viglino, $ C$-compact spaces, Duke Math. J. 36 (1969), 761-764. MR 0248749 (40:2000)
  • [11] -, Seminormal and $ C$-compact spaces, Duke Math. J. 38 (1971), 57-61. MR 0271908 (42:6789)
  • [12] A. Bella and F. Cammaroto, On the cardinality of Urysohn spaces, preprint. MR 942065 (89f:54041)
  • [13] S. Dolecki and Lechicki, On the structure of upper semicontinuity, J. Math. Anal. Appl. 88 (1982), 547-554. MR 667078 (84a:54033)
  • [14] S. Dolecki and S. Rolewicz, Metric characterizations of upper semicontinuity, J. Math. Anal. Appl. 69 (1979), 146-152. MR 535287 (80f:49010)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0857951-6
Article copyright: © Copyright 1986 American Mathematical Society

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