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Expansion of discrete and closure-preserving families


Author: Takemi Mizokami
Journal: Proc. Amer. Math. Soc. 102 (1988), 402-406
MSC: Primary 54E20,; Secondary 54D20
DOI: https://doi.org/10.1090/S0002-9939-1988-0921007-6
MathSciNet review: 921007
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Abstract: In this paper, we define the classes of $ d$-IP-expandable spaces and IP-expandable spaces, and study their properties and relations with orthocompact spaces and nonarchimedean quasi-metrizable spaces.


References [Enhancements On Off] (What's this?)

  • [1] C. R. Borges, Expansion of closure-preserving collections and metrizability, Math. Japon. 28 (1983), 67-71. MR 692554 (84b:54060)
  • [2] H. Brandenburg, On $ D$-paracompact spaces, Topology Appl. 20 (1985), 17-27. MR 798441 (87b:54017)
  • [3] R. F. Gittings, Some remarks on weak covering conditions, Canad. J. Math. 26 (1974), 1152-1156. MR 0353254 (50:5738)
  • [4] J. Kofner, On quasi-metrizability, Topology Proc. 5 (1980), 111-138. MR 624466 (82j:54054)
  • [5] E. A. Michael, Point-finite and locally finite coverings, Canad. J. Math. 7 (1955), 275-279. MR 0070147 (16:1138c)
  • [6] K. Nagami, The equality of dimensions, Fund. Math. 106 (1980), 239-246. MR 584496 (82d:54037)
  • [7] S. I. Nedev and M. M. Čoban, On the theory of $ o$-metrizable spaces. III, Vestnik Moskov. Univ. Ser. I Mat. Mekh. 27 (1972), 10-15. MR 0307192 (46:6312)
  • [8] B. M. Scott, Toward a product theory of orthocompactness, Studies in Topology, Academic Press, 1975, pp. 517-537. MR 0372820 (51:9024)
  • [9] -, More about orthocompactness, Topology Proc. 5 (1980), 155-184. MR 624469 (82h:54029)
  • [10] S. Siwiec and J. Nagata, A note on nets and metrization, Proc. Japan Acad. 44 (1968), 623-627. MR 0242116 (39:3450)
  • [11] J. M. Worrel, Jr. and H. H. Wicke, Characterizations of developable topological spaces, Canad. J. Math. 17 (1965), 820-830. MR 0182945 (32:427)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0921007-6
Keywords: Interior-preserving, orthocompact, nonarchimedean quasi-metrizable, $ d$-IP-expandable
Article copyright: © Copyright 1988 American Mathematical Society

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