Geodesic
On the preservation of separation axioms in products
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 713-721.

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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.
Classification : 54B10, 54D10, 54D15
Keywords: separation axioms; box product; ultraproduct; ideal product topology 
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     title = {On the preservation of separation axioms in products},
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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/