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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 2003 Volume 9, Issue 2, Pages 205–238 (Mi fpm729)

Some normality-type properties, topological products, and classes of continuous mappings

A. N. Yakivchik

M. V. Lomonosov Moscow State University

Abstract: Some properties generalizing the normality separation axiom and their behavior under basic topological operations and continuous mappings are discussed. One of the general problems considered in the paper concerns the deduction of “nice” topological properties of spaces from generalized normality of certain topological products, their subspaces, and other related structures; in particular, extensions of the well-known theorems of Katětov and Tamano are suggested.

UDC: 515.12


 English version:
Journal of Mathematical Sciences (New York), 2005, 131:4, 5839–5860

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