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rim-compact をテンプレートにして作成
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開始行:
*Definition [#p88e17b3]
-A topological space Y is rim-compact if and only if there is an open basis B for the topology on Y such that ∂V is compact for each V in B, where ∂V is the boundary of V.
*Property [#ac055b3e]
- Every perfectly normal, locally connected, rim-compact, and [[subparacompact]] space is [[paracompact]].
-Let f:X→Y be a weakly continuous function with a closed graph G(f). If Y is rim-compact, then f is continuous.
*Reference [#g998b14c]
-Chaber, J.and Zenor, P.,''On perfect subparacompactness and a metrization theorem for Moore spaces'' ,Proceedings of the 1977 Topology Conference (Louisiana State Univ., Baton Rouge, La., 1977), II. Topology Proc. 2 (1977), no. 2, 401--407
-Rose, David Alon, ''On Levine's decomposition of continuity'', Canad. Math. Bull. 21 (1978), no. 4, 477--481
終了行:
*Definition [#p88e17b3]
-A topological space Y is rim-compact if and only if there is an open basis B for the topology on Y such that ∂V is compact for each V in B, where ∂V is the boundary of V.
*Property [#ac055b3e]
- Every perfectly normal, locally connected, rim-compact, and [[subparacompact]] space is [[paracompact]].
-Let f:X→Y be a weakly continuous function with a closed graph G(f). If Y is rim-compact, then f is continuous.
*Reference [#g998b14c]
-Chaber, J.and Zenor, P.,''On perfect subparacompactness and a metrization theorem for Moore spaces'' ,Proceedings of the 1977 Topology Conference (Louisiana State Univ., Baton Rouge, La., 1977), II. Topology Proc. 2 (1977), no. 2, 401--407
-Rose, David Alon, ''On Levine's decomposition of continuity'', Canad. Math. Bull. 21 (1978), no. 4, 477--481
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