Coverings by closed sets
Cp-movable at infinity spaces, compact ANR divisors and property UVWn.
Criterion of Normality of the Completely Regular Topology of Separate Continuity
2000 Mathematics Subject Classification: 54C10, 54D15, 54G12.For given completely regular topological spaces X and Y, there is a completely regular space X ~⊗ Y such that for any completely regular space Z a mapping f : X × Y ⊗ Z is separately continuous if and only if f : X ~⊗ Y→ Z is continuous. We prove a necessary condition of normality, a sufficient condition of collectionwise normality, and a criterion of normality of the products X ~⊗ Y in the case when at least one factor is scattered.
Criterios De Convergencia Secuencial.
C-scattered and paracompact spaces
C-separated sets and unicoherence
Cut points in abcohesive, aposyndetic, and semi-locally connected spaces.
Cutting description of trivial 1-cohomology
A characterisation of trivial 1-cohomology, in terms of some connectedness condition, is presented for a broad class of metric spaces.