Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
권호 표지
DOI QR코드

DOI QR Code

On (ω)compactness and (ω)paracompactness

  • Received : 2011.05.23
  • Accepted : 2012.03.12
  • Published : 2012.09.23
Download PDF
⟨ Previous Next ⟩

Abstract

The notions of (${\omega}$)compactness and (${\omega}$)paracompactness are studied in product (${\omega}$)topology. The concept of countable (${\omega}$)paracompactness is introduced and some results on this notion are obtained.

Keywords

References

  1. M. K. Bose, R. Tiwari, On increasing sequences of topologies on a set, Riv. Mat. Univ. Parma, 7(7)(2007), 173-183.
  2. M. K. Bose, R. Tiwari, On (${\omega}$)topological spaces, Riv. Mat. Univ. Parma, 9(7)(2008), 125-132.
  3. C. H. Dowker, On countably paracompact spaces, Canad. J. Math., 3(1951), 219-224. https://doi.org/10.4153/CJM-1951-026-2
  4. J. Dugundji, Topology, Allyn and Bacon, Boston 1966.
  5. F. Ishikawa, On countably paracompact spaces, Proc. Japan Acad., 31(1955), 686-687 https://doi.org/10.3792/pja/1195525547
  6. E. Michael, Another note on paracompact spaces, Proc. Amer. Math. Soc., 8(4)(1957), 822-828. https://doi.org/10.1090/S0002-9939-1957-0087079-9