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《Journal of Chongqing University of Science and Technology(Natural Sciences Edition)》 2006-02
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The Equivalent Proposition and Proof of Continuous Mapping in Topological Space

SUN Li-xia(Chongqing Normal University,Chongqing 400047)  
This paper mainly introduces the definition of continuous mapping in topological space,summarizes the equivalent proposition of continuous mapping,and provides the detailed proving.
【Fund】: 重庆市教委科学研究项目(05JWSK054)
【CateGory Index】: O189.11
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 ZHU Yu-long et al(Mathematics Department of Handan University,Handan,Hebei 056001);Topology Concept in Teams[J];Journal of Anhui Agricultural Sciences;2009-22
2 ZHOU Jingxin (Department of Mathematics);The Expandatian of the Urysohn lemma and the Tietze Extension Theorem[J];;1999-05
3 YANG Xiao-wei,XU Yang (Dept.Appl.Math.,Southwest Jiaotong Univ., Chengdu 610031,Sichuan,China);Group structure in uniform space[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2002-04
4 SU Ren-suo (1. Inst. Math. ,Shaanxi Normal Univ. ,Xi'an 710062,Shaanxi,China; 2. Dept. Math. ,Baoji Coll. Arts &. Sci. ,Baoji 721007,Shaanxi .China);The comparison of product topology with box topology in Cartesian product[J];Journal of Baoji College of Arts and Science(Natural Science Edition);2003-03
5 JIANG Jin-ping, WANG Xiao-xia(College of Mathmatics and Computer Science,Yan'an 716000,China)〖JZ)〗;L-Fuzzy Generalized Lower and Upper Semicontinuous Multifunctions[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2005-04
6 Huang Haihui(Department of Telecommunication Engineering,Chongqing University of Posts and Telecommunications, Chongqing 630065);Analysis and Application of the Hardware and Software of PC-FAX Cards[J];Journal of Chongqing University of Posts and Telecommunications;1996-02
7 YAN Weijun1, WANG Yangeng1, WEI Guo2 (1.Department of Mathematics, Northwest University, Xian 710069,China;2.Department of Mathematics and Computer Science,University of North Carolina at Pembroke.Pembroke 28372,U.S.A);Some properties of the relative topology[J];Pure and Applied Mathematics;2003-03
8 CAO Jin-wen, HU Can (College of Information Management,Chengdu University of Technology610059,China);On some characterizations of perfect strong paracompact spaces[J];Pure and Applied Mathematics;2004-02
9 ZHANG Da(Department of Mathematics, Ningde Teachers College,Ningde Fujian 352100,China);Spaces with σ weakly hereditarily closure-preserving pair-networks[J];Pure and Applied Mathematics;2004-04
10 WANG Zhao-hai~~(1,2),WU Hong-bo~2(1.College of mathematics and information science,Shaanxi normal University,Xi′an 710062,China;2.Department of mathematics,ankang College,Ankang 725000,China);The method of describing topology by derived operator[J];Pure and Applied Mathematics;2006-02
【Co-references】
Chinese Journal Full-text Database 2 Hits
1 WANG Zhao-hai~~(1,2),WU Hong-bo~2(1.College of mathematics and information science,Shaanxi normal University,Xi′an 710062,China;2.Department of mathematics,ankang College,Ankang 725000,China);The method of describing topology by derived operator[J];Pure and Applied Mathematics;2006-02
2 YOU Shu-jun, YUAN Wen-jun (School of Sciences, Guangzhou University, Guangzhou 510405, China);The equivalent definition of topology[J];Journal of Guangzhou University(Natural Science Edition);2004-06
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