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A Generalization of H-Closed Spaces
並列摘要
Whereas a space X can be embedded in a compact space if and only if it is Tychonoff, every space X can be embedded in an H-closed space (a generalization of compact space). In this paper, we further generalize, the concept of H-closedness into 9H-closedness and have shown that every connected space is either a 9H-closed space or can be embedded in a 9H-closed space. Also, in a locally connected regular space the concept of 9H-closedness is equivalent to the concepts of J-ness and strong J-ness due to E. Michael [7] and θJ-ness due to C.K. Basu et. al [1]. Several characterizations and properties of 9H-closed spaces with respect to subspaces, products and functional preservations (along with various examples) are given.
並列關鍵字
H-closed ； H-set ； θ-closed ； θ-continuity ； θ-connected ； θ-perfect ； almost regular ； Urysohn ； θ-rigid被引用紀錄
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延伸閱讀
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