| 关于中紧映射 |
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| 引用本文： | 熊华荣,黄浩然,管春燕.关于中紧映射[J].江西师范大学学报(自然科学版),2009,33(2). |
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| 作者姓名： | 熊华荣 黄浩然 管春燕 |
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| 作者单位： | 江西师范大学,数学与信息科学学院,江西,南昌,330022 |
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| 摘 要： | 引入了中紧映射后,先研究并证明了一个引理,再证明了几个概念在闭映射的条件下的等价刻画,最后不仅利用定向开覆盖刻划了中紧映射,还利用闭包保持闭加细,紧式星形加细,紧式w-加细和紧式星形Fk-加细等进一步刻划了中紧映射,拓展了拓扑空间范畴到拓扑空间范畴的映射.
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| 关 键 词： | 紧有限 紧式星形加细 紧式w-加细 紧式星形Fk-加细 中紧映射 |
On Mesocompact Spaces |
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| XIONG Hua-rong,HUANG Hao-ran,GUAN Chun-yan.On Mesocompact Spaces[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2009,33(2). |
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| Authors: | XIONG Hua-rong HUANG Hao-ran GUAN Chun-yan |
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| Institution: | Institute of Mathematics and Informatics;Jiangxi Normal University;Nanchang 330022;China |
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| Abstract: | In this paper,after we introduce the concept of a mesocompact map,we study and proof a lemma,then proof a equivalent chracterization of severel concepts in the condition of closed map.And mesocompact maps are not only characerized by directional open covers,mesocompact maps are but also characterized by closure-preserving closed refinements,compact star refinements,compact w-refinement,compact star refinements.These are development about maps from the category Top to the category Top. |
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| Keywords: | compact finite compact star refinement compact w-refinement compact star refinements mesocompact map |
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