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Dimension theory and fuzzy topological spaces

Author

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  • S. S. Benchalli
  • B. M. Ittanagi
  • P. G. Patil

Abstract

J. M. Aarts introduced and studied a new dimension function, Hind , in 1975 and obtained several results on this function. In this paper, a new local inductive dimension function called local huge inductive dimension function denoted by loc Hind is introduced and studied. Furthermore, an effort is made to introduce and study dimension functions for fuzzy topological spaces. It has been possible to introduce and study the small inductive dimension function indf X and large inductive dimension function indf X for a fuzzy topological space X .

Suggested Citation

  • S. S. Benchalli & B. M. Ittanagi & P. G. Patil, 2006. "Dimension theory and fuzzy topological spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-8, August.
    • Handle: RePEc:hin:jijmms:092870
    DOI: 10.1155/IJMMS/2006/92870
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