On SI2-continuous Spaces | Zendy

Shuzhen Luo | Zendy; Xiaoqu Xu | Zendy

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On SI2-continuous Spaces

Author(s) -

Shuzhen Luo,

Xiaoqu Xu

Publication year - 2019

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2019.07.021

Subject(s) - space (punctuation) , set (abstract data type) , mathematics , topology (electrical circuits) , computer science , combinatorics , programming language , operating system

In this paper, we construct a new way below relation from any given T 0 space by making use of the cut operator, and introduce the concepts of SI2-continuous spaces and SI2-quasicontinuous spaces. The main results are: (1) a space ( X , τ ) is SI2-continuous iff the set X equipped with the SI2-topology τ S I 2 is a C-space; (2) a space ( X , τ ) is SI2-quasicontinuous iff ( X , τ S I 2 ) is a locally hypercompact space; (3) a space is SI2-continuous iff it is a meet SI2-continuous and SI2-quasicontinuous space.

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