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strong cover compact をテンプレートにして作成
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*Definition [#i2b39573]
A topological space X is strong cover compact if every open cover of X has a strong cover compact open refinement. Here, a "strong cover compact cover" is defined as following. Let V be a cover of X and assume:
++V_i is a countably infinite collection which consists of distinct members in V;
++p_i and q_i are points in V_i without repetition;
++a sequence {p_i} has a limit point.
If the above conditions impliy the existense of a limit point of {q_i}, we call V strong cover compact.
*Remark [#j4677687]
-We will use the abbreviation scc for strong cover compact.
*Reference [#ld743cd0]
-Mancuso, V. J.,''Mesocompactness and related properties'', Pacific J. Math. 33 1970 345--355.
終了行:
*Definition [#i2b39573]
A topological space X is strong cover compact if every open cover of X has a strong cover compact open refinement. Here, a "strong cover compact cover" is defined as following. Let V be a cover of X and assume:
++V_i is a countably infinite collection which consists of distinct members in V;
++p_i and q_i are points in V_i without repetition;
++a sequence {p_i} has a limit point.
If the above conditions impliy the existense of a limit point of {q_i}, we call V strong cover compact.
*Remark [#j4677687]
-We will use the abbreviation scc for strong cover compact.
*Reference [#ld743cd0]
-Mancuso, V. J.,''Mesocompactness and related properties'', Pacific J. Math. 33 1970 345--355.
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