Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지

RELATIONSHIPS AMONG SPACES OF META-LINDELÖF PROPERTY END STAR-LINDELÖFNESS OF σ-PRODUCT SPACES

  • CHO, MYUNG HYUN (Division of Mathematics and Informational Statistics Wonkwang University) ;
  • KIM, JUN-HUI (Division of Mathematics and Informational Statistics Wonkwang University)
  • Received : 2004.01.27
  • Accepted : 2004.03.03
  • Published : 2004.06.25
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we further enrich the theory of starcompactness properties by clarifying relationships between various types of weak covering properties and starcompactness and starcompactness-like properties. We also study star-$Linde{\ddot{o}}fness$ of ${\sigma}$-product spaces.

Keywords

Acknowledgement

Supported by : Wonkwang University

References

  1. Soviet Math. Dokl. v.21 no.2 The star method, new classes of spaces, and countable compactness Arhangel'skii, A.
  2. Compactness, Contemporary Problems in Mathematics. Fundamental Directions. General Topology - 2 Arhangel'skii, A.V.
  3. Encyclopedia of Mathematical Sciences;General Topology II Arhangel'skii, A.V.
  4. Proc. Amer. Math. Soc. v.9 On properties characterizing pseudocompact spaces Bagley, R.W.;Connel, E.H.;McKnight, J.D.
  5. Q&A in General Topology v.16 no.2 Star-Lindelof and absolutely star-Lindelof spaces Bonanzinga, M.
  6. Covering properties, Handbook of Set-theoretic Topology Burke, D.K.;Kunen, K.(ed.);Vaughan, J.E.(ed.)
  7. Math. Japon. v.32 no.3 On ${\sigma}$-products Chiba, K.
  8. Proc. Amer. Math. Soc. v.131 no.1 Pseudonormality and starcompactness of ${\sigma}$-product Chiba, K.
  9. Q&A in General Topology v.14 no.2 Isocompactness of weakly star reducible spaces Cho, M.H.
  10. Bull. Korean Math. Soc. v.39 no.2 Isocompactness and related topics of weak covering property Cho, M.H.;Park, W.W.
  11. Topology Appl. v.39 Star covering properties van Douwen, E.;Reed, G.;Roscoe, A.;Tree, I.
  12. General Topology Engelking, R.
  13. Fund. Math. v.67 A new extension of countable compactness Fleishman, W.M.
  14. Topology Appl. v.98 no.1-3 Nearly metacompact spaces Grabner, E.;Grabner, G.;Vaughan, J.E.
  15. J. Indian Math. Soc. v.59 On star with Lindelof center property Hiremath, G.
  16. Research Reports of Nara National College of Technology v.26 topological concepts between Lindelof and Pseudo-Lindelof Ikenaga, S.
  17. Research Reports of Numazu Technimathcal College v.15 On a topological concept between countable compactness and pseudocompactness Ikenaga, S.;Tani, T.
  18. Iterated starcompact topological spaces, to appear in Applied General Topology Kim, J.
  19. On star covering properties Kim, J.
  20. Mat. Zametki v.41 Closed embeddings into pseudocompact spaces Matveev, M.
  21. Math. Notes v.41 no.3-4 Matveev, M.
  22. A survey on star covering properties;Topology Atlas, Preprint No. 330 Matveev, M.
  23. More on star covering properties;Topology Atlas, Topology Atlas Preprint No. 363 Matveev, M.
  24. Czsech. Math. J. v.19 Countably compact and pseudocompact products Noble, N.
  25. Fund. Math. v.40 On the Cartesian product of two compact spaces Novak, J.
  26. A study of star-covering properties in topological spaces Song, Y.
  27. Topology Appl. v.47 Constructing regular 2-starcompact spaces that are not strongly 2-star-Lindelof Tree, I.
  28. Countably compact and sequentially compact spaces, Handbook of Set-theoretic Topology Vaughan, J.E.;Kunen, K.(ed.);Vaughan, J.E.(ed.)