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| ON THE EMBEDDING OF TOP IN THE CATEGORY OF STRATIFIED L-TOPOLOGICAL SPACES |
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Citation： |
LAI Hongliang,ZHANG Dexue.ON THE EMBEDDING OF TOP IN THE CATEGORY OF STRATIFIED L-TOPOLOGICAL SPACES[J].Chinese Annals of Mathematics B,2005,26(2):219~228 |
| Page view： 1305
Net amount： 749 |
Authors： |
LAI Hongliang; ZHANG Dexue |
Foundation： |
Project supported by the 973 Project of the Ministry of Science and Technology of China
(No.2002cb312200), the Excellent Young Teachers Program of the Ministry of Education of China
and Huo Yingdong Education Foundation. |
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| Abstract： |
Let L be a meet continuous lattice. It is proved that the category Top of topological
spaces can be embedded in the category of stratified L-topological spaces as a concretely
both reflective and coreflective full subcategory if and only if L is a continuous lattice. |
Keywords： |
Continuous lattice, L-topological space, Reflective subcategory, Coreflective
subcategory |
Classification： |
54A40, 54B30 |
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