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pairwise T_1 in the sense of Swart
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pairwise T_1 in the sense of Swart をテンプレートにして作成
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開始行:
*Definition [#oa44432e]
-A bitopological space (X,τ_1,τ_2) is pairwise T_1 in the sense of Swart (briefly S-p-T_1) if for every pair of distinct points at least one point has a 1-neighbourhood not containing the other, while the second point has a 2-neighbourhood
*Property [#i81e82c5]
-S-p-T_1 implies [[MN-p-T_1>pairwise T_1 in the sense of Murdeshwar and Naimpally]]
*Reference [#pe196060]
-Swart, J. , ''Total disconnectedness in bitopological spaces and product bitopological spaces.'' (English) [J] Nederl. Akad. Wet., Proc., Ser. A 74, 135-145 (1971).
終了行:
*Definition [#oa44432e]
-A bitopological space (X,τ_1,τ_2) is pairwise T_1 in the sense of Swart (briefly S-p-T_1) if for every pair of distinct points at least one point has a 1-neighbourhood not containing the other, while the second point has a 2-neighbourhood
*Property [#i81e82c5]
-S-p-T_1 implies [[MN-p-T_1>pairwise T_1 in the sense of Murdeshwar and Naimpally]]
*Reference [#pe196060]
-Swart, J. , ''Total disconnectedness in bitopological spaces and product bitopological spaces.'' (English) [J] Nederl. Akad. Wet., Proc., Ser. A 74, 135-145 (1971).
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