Milan Z. Grulovi\'c, Milo\v s S. Kurili\'c
On the preservation of separation axioms in products *"{Presented at the Fifth International Conference Topology and Its Applications, Dubrovnik, 1990.}

Abstract: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.

Keywords: separation axioms, box product, ultraproduct, ideal product topology
AMS Subject Classification: Primary 54B10, 54D10, 54D15

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