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pairwise T_1 in the sense of Swart

Last-modified: 2010-11-23 (火) 16:09:11

Definition Edit

  • 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 not containing the first.

Property Edit

Reference Edit

  • Swart, J. , Total disconnectedness in bitopological spaces and product bitopological spaces. (English) [J] Nederl. Akad. Wet., Proc., Ser. A 74, 135-145 (1971).