λ- semi compact spaces and λ- strongly compact spaces

Document Type : Original Paper

Authors

1 Department of Mathematics, Faculty of Mathematics and Mathematical Sciences, Shahid Chamran University of Ahvaz, ,Ahvaz, Iran

2 Department of Mathematics, Faculty of Mathematical Sciences and computer, Shahid Chamran University of Ahvaz,, Ahvaz, Iran

Abstract

For an infinite cardinal number λ , λ- semi compact spaces and λ-strongly compact spaces which are generalizations of semi-compact spaces and strongly compact spaces are introduced and studied. It is shown that for every infinite cardinal number λ , there exist non-discrete λ- semi compact spaces and non-discrete λ- strongly compact spaces. Basic properties of such spaces are investigated.

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References

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Journal of Advanced Mathematical Modeling
Volume 11, Issue 1
April 2021
Pages 1-10

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History

  • Receive Date: 10 September 2020
  • Revise Date: 07 January 2021
  • Accept Date: 08 January 2021

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