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Zbl 1218.54018
Ge, Xun; Li, Zhaowen; Ge, Ying
Topological spaces and soft sets. (English)
[J] J. Comput. Anal. Appl. 13, No. 5, 881-885 (2011). ISSN 1521-1398; ISSN 1572-9206/e

Summary: We establish some relations between topology and soft set theory. Our work is to give some characterizations of trivial (resp., discrete, $T_0$, $T_1$-, $T_D$- and $R_0$-) topological spaces by the null soft set, the absolute soft set, the identical soft set and so on. Our results may be useful in the application research of classical topology.

MSC 2000:: *54D10 Lower separation axioms
54A05 Topological spaces and generalizations
54H99 Connections of general topology with other structures
03E47 Other notions of set-theoretic definability

Keywords: trivial space; discrete space; $T_i$-space $(i=0,1,d)$; $R_0$-space; soft set

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Zentralblatt MATH Berlin [Germany]