Korean Journal of Mathematics

  • 제27권3호
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  • Pages.661-690
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  • 2019
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
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SEVEN GENERALIZED TYPES OF SOFT SEMI-COMPACT SPACES

  • 투고 : 2019.02.16
  • 심사 : 2019.08.01
  • 발행 : 2019.09.30
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초록

The soft compactness notion via soft topological spaces was first studied in [10,29]. In this work, soft semi-open sets are utilized to initiate seven new kinds of generalized soft semi-compactness, namely soft semi-$Lindel{\ddot{o}}fness$, almost (approximately, mildly) soft semi-compactness and almost (approximately, mildly) soft semi-$Lindel{\ddot{o}}fness$. The relationships among them are shown with the help of illustrative examples and the equivalent conditions of each one of them are investigated. Also, the behavior of these spaces under soft semi-irresolute maps are investigated. Furthermore, the enough conditions for the equivalence among the four sorts of soft semi-compact spaces and for the equivalence among the four sorts of soft semi-$Lindel{\ddot{o}}f$ spaces are explored. The relationships between enriched soft topological spaces and the initiated spaces are discussed in different cases. Finally, some properties which connect some of these spaces with some soft topological notions such as soft semi-connectedness, soft semi $T_2$-spaces and soft subspaces are obtained.

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참고문헌

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피인용 문헌

  1. Nearly Soft Menger Spaces vol.2020, 2020, https://doi.org/10.1155/2020/3807418
  2. Sum of Soft Topological Spaces vol.8, pp.6, 2019, https://doi.org/10.3390/math8060990