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On (ω)compactness and (ω)paracompactness

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The notions of (ω)compactness and (ω)paracompactness are studied in prod-uct (ω)topology. The concept of countable (ω)paracompactness is introduced and some results on this notion are obtained.

Abstract

The notions of (ω)compactness and (ω)paracompactness are studied in prod-uct (ω)topology. The concept of countable (ω)paracompactness is introduced and some results on this notion are obtained.

참고문헌 (6)

  1. M. K. Bose, "On increasing sequences of topologies on a set", Riv. Mat. Univ. Parma, 7(7), pp.173~183 (2007)
  2. M. K. Bose, "On (!)topological spaces", Riv. Mat. Univ. Parma, 9(7), pp.125~132 (2008)
  3. C. H. Dowker, "On countably paracompact spaces", Canad. J. Math., 3, pp.219~224 (1951)
  4. J. Dugundji, "Topology" (1966), Allyn and Bacon
  5. F. Ishikawa, "On countably paracompact spaces", Proc. Japan Acad., 31, pp.686~687 (1955)
  6. E. Michael, "Another note on paracompact spaces", Proc. Amer. Math. Soc., 8(4), pp.822~828 (1957)

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