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On closedness of
C- and Cā-embeddings
Yoshio Tanaka |
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Vol. 68 (1977), No. 1, 283ā292
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Abstract |
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In view of weak topology, this paper studies the conditions for C-and C∗-embedded subsets of k-spaces to be closed. For example, we have the following: A C-embedded subset S is closed in a space X, if S is paracompact and X is a k-space. A C∗-embedded subset S is closed in a space X, if (1) X is a k-space in which every point is a Gδ-set; (2) S is normal, or an Fσ-set of X, and X is a sequential space; or (3) S is subparacompact, or an Fσ-set of X, and X is a k-space which is hereditarily normal, or hereditarily countably paracompact. |
Mathematical Subject Classification 2000
Primary: 54D50
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Milestones
Received: 2 April 1976
Revised: 15 June 1976
Published: 1 January 1977
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Authors |
| Yoshio Tanaka | |
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