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pairwise T_1 in the sense of Murdeshwar and Naimpally
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pairwise T_1 in the sense of Murdeshwar and Naimpally をテンプレートにして作成
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開始行:
*Definition [#v9e37c66]
-A bitopological sapce (X,τ_1,τ_2) is pairwise T_1 in the sense of Murdeshwar and Naimpally (briefly MN-p-T_1) if for every pair of distinct points x, y of X, there exists a 1- or a 2-neighbourhood of x not containing y.
*Property [#qbb94550]
-MN-p-T_1 implies [[MN-p-T_0>pairwise T_0 in the sense of Murdeshwar and Naimpally]]
*Reference [#ya667ccc]
-Murdeshwar, M.G.; Naimpally, S.A.,''Quasi-uniform topological spaces.'', (English) [B] Groningen: P. Noordhoff Ltd. 73 p. (1966).
終了行:
*Definition [#v9e37c66]
-A bitopological sapce (X,τ_1,τ_2) is pairwise T_1 in the sense of Murdeshwar and Naimpally (briefly MN-p-T_1) if for every pair of distinct points x, y of X, there exists a 1- or a 2-neighbourhood of x not containing y.
*Property [#qbb94550]
-MN-p-T_1 implies [[MN-p-T_0>pairwise T_0 in the sense of Murdeshwar and Naimpally]]
*Reference [#ya667ccc]
-Murdeshwar, M.G.; Naimpally, S.A.,''Quasi-uniform topological spaces.'', (English) [B] Groningen: P. Noordhoff Ltd. 73 p. (1966).
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