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S-Convergence Theory of Nets(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2017年02期
Page:
12-
Research Field:
·数学·
Publishing date:

Info

Title:
S-Convergence Theory of Nets
Author(s):
Xu Zhenguo
National Science and Technology Infrastructure Center,Beijing 100862,China
Keywords:
L-topological space; semiclosed remote set; S-adherence point; S-limit point; S-cluster point; S-convergence
PACS:
O189.2
DOI:
10.3969/j.issn.1001-4616.2017.02.003
Abstract:
In this paper,semiclosed remote set,S-adherence point,S-limit point,S-cluster point are built by means of the concept of semiclosed L-sets. We proved that unions of all S-limit points of net N and unions of all S-cluster points of net N are semiclosed L-set,respectively; S-limit point of net N is S-limit points of it subnet T; under irresolute mapping S-limit point and S-cluster point of net N are hold.

References:

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Last Update: 2017-06-30