全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

关于R-半拓扑空间上的一些结果
Some Notes on R-Semi Topological Space

DOI: 10.12677/PM.2016.63034, PP. 217-222

Keywords: 广义拓扑空间,R-半拓扑,R-领域,R-网
Generalized Topological Space
, R-Semi Topology, R-Neighbourhood, R-Net

Full-Text   Cite this paper   Add to My Lib

Abstract:

类比A.Csaszar等人给出的广义拓扑空间关于一些性质的研究,引入R-半拓扑空间,在R-半拓扑的定义下,遗传了一般拓扑中的哪些性质,并且结合例子说明哪些性质不能被遗传。
Firstly, the concepts of Right-semi topology (i.e., R-semi-topological) are introduced by means of generalized topological spaces. Then, under the definition of Right-semi topology, nature that has been hereditary is explored, and nature that cannot be inherited is also illustrated combing with examples.

References

[1]  Csaszar, A. (2002) Generalized Topology, Generalized Continuity. Acta Mathematica Hungarica, 96, 351-357.
http://dx.doi.org/10.1023/A:1019713018007
[2]  Csaszar, A. (2005) Generalized Open Sets in Generalized To-pologies. Acta Mathematica Hungarica, 106, 53-66.
http://dx.doi.org/10.1007/s10474-005-0005-5
[3]  Csaszar, A. (1997) Generalized Open Sets. Acta Mathematica Hungarica, 75, 65-87.
http://dx.doi.org/10.1023/A:1006582718102
[4]  Csaszar, A. (2009) Products of Generalized Topologies. Acta Mathematica Hungarica, 123, 127-132.
http://dx.doi.org/10.1007/s10474-008-8074-x
[5]  Csaszar, A. (2004) Separation Axioms for Generalized To-pologies. Acta Mathematica Hungarica, 104, 63-69.
http://dx.doi.org/10.1023/B:AMHU.0000034362.97008.c6
[6]  朱培勇, 雷银彬. 拓扑学导论[M]. 北京: 科学出版社, 2009: 44-50.
[7]  胡西超, 朱培勇. 一类新型半拓扑空间及其分离性质[J]. 理论数学, 2015, 5(4): 129-135.
[8]  陈道富, 钟健, 朱培勇. 关于L-半拓扑空间的一些注记[J]. 理论数学, 2015, 5(6): 272-277.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133