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Encyclopedia of Separation Axioms Wiki*
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T_{YS} をテンプレートにして作成
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開始行:
*Definition [#wc5c7a94]
-A topological space (X,τ) is is said to be T_{YS} if for all &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%2cy%5cin%20X%2c%5c%20x%5cneq%20y%2c%20%5coverline%7b%5c%7bx%5c%7d%7d%5ccap%5coverline%7b%5c%7by%5c%7d%7d%
*Property [#q30bd372]
-A topological space (X,τ) is a T_{YS} space iff one of the following conditions holds:
++∀x,y∈X, &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cneq%20y%20%5c%5d%7d%25.png); implies &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5crm%7bcl%7d%28%5c%7bx%5c%7d%29%5ccap%5crm%7bk
++∀x,y∈X, &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cneq%20y%20%5c%5d%7d%25.png); implies &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5crm%7bcl%7d%28%5c%7bx%5c%7d%29%5ccap%5crm%7bk
-T_{YS} implies [[T_Y]].
-T_{YS} = [[T_0]] + [[R_YS]]. [2]
*Reference [#ia51fb45]
+Aull, Charles E.; Thron, W.J.,''Separation axioms between T0 and T1.'', (English) [J] Nederl. Akad. Wet., Proc., Ser. A 65, 26-37 (1962).
+Misra, D. N.; Dube, K. K., ''Some axioms weaker than the R0-axiom.'', (Serbo-Croatian summary), Glasnik Mat. Ser. III 8(28) (1973), 145-148.
+Guia, Josep, ''Axioms weaker than R0.'', (Serbo-Croatian summary), Mat. Vesnik 36 (1984), no. 3, 195–205.
終了行:
*Definition [#wc5c7a94]
-A topological space (X,τ) is is said to be T_{YS} if for all &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%2cy%5cin%20X%2c%5c%20x%5cneq%20y%2c%20%5coverline%7b%5c%7bx%5c%7d%7d%5ccap%5coverline%7b%5c%7by%5c%7d%7d%
*Property [#q30bd372]
-A topological space (X,τ) is a T_{YS} space iff one of the following conditions holds:
++∀x,y∈X, &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cneq%20y%20%5c%5d%7d%25.png); implies &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5crm%7bcl%7d%28%5c%7bx%5c%7d%29%5ccap%5crm%7bk
++∀x,y∈X, &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20x%5cneq%20y%20%5c%5d%7d%25.png); implies &ref(http://www.eaflux.com/imgtex/imgtex.fcgi?%5bres=100%5d%7b%5c%5b%20%5crm%7bcl%7d%28%5c%7bx%5c%7d%29%5ccap%5crm%7bk
-T_{YS} implies [[T_Y]].
-T_{YS} = [[T_0]] + [[R_YS]]. [2]
*Reference [#ia51fb45]
+Aull, Charles E.; Thron, W.J.,''Separation axioms between T0 and T1.'', (English) [J] Nederl. Akad. Wet., Proc., Ser. A 65, 26-37 (1962).
+Misra, D. N.; Dube, K. K., ''Some axioms weaker than the R0-axiom.'', (Serbo-Croatian summary), Glasnik Mat. Ser. III 8(28) (1973), 145-148.
+Guia, Josep, ''Axioms weaker than R0.'', (Serbo-Croatian summary), Mat. Vesnik 36 (1984), no. 3, 195–205.
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