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Semi-stratifiable spaces and the insertion of semi-continuous functions |
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| Authors: | Peng-Fei Yan Er-Guang Yang |
| Affiliation: | a Department of Mathematics and Physics, Wuyi University, Guangdong 529020, China b Department of Mathematics, Nanjing University, Jiangsu 210093, China |
| Abstract: | In this paper, we investigate the relations between the stratifiable structure of spaces and the insertion of semi-continuous functions and give some characterizations of perfect spaces, semi-stratifiable spaces and K-semi-stratifiable spaces. |
| Keywords: | Semi-stratifiable space K-semi-stratifiable space Perfect space Semi-continuous function K-semi-continuous function |
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