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On the preservation of separation axioms in products

Milan Z. GrulovićMiloš S. Kurilić — 1992

Commentationes Mathematicae Universitatis Carolinae

We give sufficient and necessary conditions to be fulfilled by a filter Ψ and an ideal Λ in order that the Ψ -quotient space of the Λ -ideal product space preserves T k -properties ( k = 0 , 1 , 2 , 3 , 3 1 2 ) (“in the sense of the Łos theorem”). Tychonoff products, box products and ultraproducts appear as special cases of the general construction.

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