Geodesic
On the preservation of separation axioms in products
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 713-721 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We give sufficient and necessary conditions to be fulfilled by a filter $\Psi $ and an ideal $\Lambda $ in order that the $\Psi $-quotient space of the $\Lambda $-ideal product space preserves $T_k$-properties ($k=0,1,2,3,3\frac{1}{2}$) (``in the sense of the \L os theorem''). Tychonoff products, box products and ultraproducts appear as special cases of the general construction.
We give sufficient and necessary conditions to be fulfilled by a filter $\Psi $ and an ideal $\Lambda $ in order that the $\Psi $-quotient space of the $\Lambda $-ideal product space preserves $T_k$-properties ($k=0,1,2,3,3\frac{1}{2}$) (``in the sense of the \L os theorem''). Tychonoff products, box products and ultraproducts appear as special cases of the general construction.
Classification : 54B10, 54D10, 54D15
Keywords: separation axioms; box product; ultraproduct; ideal product topology 
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Grulović, Milan Z.; Kurilić, Miloš S. On the preservation of separation axioms in products. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 713-721. http://geodesic.mathdoc.fr/item/CMUC_1992_33_4_a16/

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