Expansion of open sets and decomposition of continuous mappings |
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| Authors: | Jingcheng Tong |
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| Institution: | 1. Department of Mathematics and Statistics, University of North Florida, 32224, Jacksonville, FL, U.S.A.
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| Abstract: | The notion of expansionA of open sets is introduced. ThenA-expansion continuous mappingf:X→Y is defined. The main result of this note is that a mappingf is continuous if and only if it is bothA-expansion continuous andB-expansion continuous, whereA-expansion,B-expansion are two mutually dual expansions. |
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