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Normality-Type Properties and Covariant Functors
Authors:A P Kombarov
Institution:(1) Department of General Topology and Geometry, Mechanics and Mathematics Faculty, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Abstract:Topological properties similar to normality are considered in subspaces of products and powers of topological spaces, of spaces of closed subsets, and of spaces having the form 
$$\mathcal{F}$$
(X), where 
$$\mathcal{F}$$
is a normal functor. __________ Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 9, No. 2, pp. 57–98, 2003.
Keywords:normality  δ  -normality  Fσ    -normality  weak normality  weak normality over a class of spaces            " target="_blank">          
gif" alt="   $$\mathcal{U}$$   " target="_blank">" align="middle" border="0">          -normality  pseudonormality  countable normality            D-normality  tightness  product  Σ  -product  σ  -product  space of closed subsets  power of a space  normal functor  countable compactness  compactness  paracompactness            p-space
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