Almost paracompactness and near paracompactness in L-smooth topological spaces

  • A. A. Ramadan (Department of Mathematics, Faculty of Science, Cairo University) ;
  • S. E. Abbas (Department of Mathematics, Faculty of Science, South Valley University) ;
  • Kim, Yong-Chan (Department of Mathematics, Kangnung National University)
  • Published : 2000.12.01

Abstract

We introduce in L-smooth topological spaces definitions of paracompactness, almost paracompactness and near paracompactness all of which turn out to be good extensions of their classical topological counterparts. These weak paracompactness are defined for arbitrary L-fuzzy sets and their properties studied.

Keywords

References

  1. Fuzzy Sets and Systems v.55 On the goodness of some types of fuzzy paracompactness A. Bulbul;M.W. Warner
  2. Fuzzy Sets and Systems v.49 Gradation of openness : Fuzzy topology K.C. Chattopadyay;R.N. Hazra;S.K. Samanta
  3. Fuzzy Sets and Systems v.90 On several types of compactness in smooth topological spaces M. Demirci
  4. J. Fuzzy Math. v.5 no.2 On smooth L-fuzzy topological spaces Halis Aygun;M.W. Warner;S.R.T. Kudri
  5. Fuzzy Sets and Systems v.70 Paracompactness in L-fuzzy topological spaces S.R.T. Kudri
  6. J. Math. Anal. Appl. v.130 Paracompactness in fuzzy topological spaces M.K. Luo
  7. Glasnik Mathematicki v.16 On fuzzy topological spaces S.R. Malghan;S.S. Benchalli
  8. Fuzzy Sets and Systems v.48 Smooth topological spaces A.A. Ramadan
  9. Rend. Circ. Matem. Palermo v.11 no.sup.11 On a fuzzy topological structure A.P. Sostak
  10. Fuzzy Sets and Systems v.56 On compact Hausdorff L-fuzzy topological spaces M.W. Warner;R.G. Mclean
  11. General Topology S. Willard