期刊
COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 61, 期 7, 页码 1786-1799出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2011.02.006
关键词
Soft sets; Soft topology; Open sets; Closed sets; Topological spaces; Separation axioms
In the present paper we introduce soft topological spaces which are defined over an initial universe with a fixed set of parameters. The notions of soft open sets, soft closed sets, soft closure, soft interior points, soft neighborhood of a point and soft separation axioms are introduced and their basic properties are investigated. It is shown that a soft topological space gives a parametrized family of topological spaces. Furthermore, with the help of an example it is established that the converse does not hold. The soft subspaces of a soft topological space are defined and inherent concepts as well as the characterization of soft open and soft closed sets in soft subspaces are investigated. Finally, soft T-i-spaces and notions of soft normal and soft regular spaces are discussed in detail. A sufficient condition for a soft topological space to be a soft T-1-space is also presented. (C) 2011 Elsevier Ltd. All rights reserved.
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