6 papers
Preservation of complete Baireness
Sergey Medvedev
The main result is the following. Let be a continuous mapping of a completely Baire space onto a hereditary weakly Preiss-Simon regular space suc…
On the Jayne-Rogers theorem
Sergey Medvedev
In 1982, J.E. Jayne and C.A. Rogers proved that a mapping of an absolute Souslin-F set X to a metric space Y is -measurable if and only if it is p…
On piecewise continuous mappings of metrizable spaces
Sergey Medvedev
Let be a resolvable-measurable mapping of a metrizable space to a regular space . Then is piecewise continuous. Additionally, for a metrizable…
Metrizable DH-spaces with a dense complete subset
Sergey Medvedev
It is proved that for an h-homogeneous space X the following conditions are equivalent: 1) X is a densely homogeneous space with a dense complete subspace; 2) X is -discretely c…
Metrizable DH-spaces of the first category
Sergey Medvedev
We show that if a separable space X has a meager open subset containing a copy of the Cantor set 2^ω, then X has types of countable dense subsets. We suggest a generaliz…
Non-separable h-homogeneous absolute F_{σδ}-spaces and G_{δσ}-spaces
Sergey Medvedev
Denote by Q(k) a σ-discrete metric weight-homogeneous space of weight k. We give an internal description of the space Q(k)^ω. We prove that the Baire space B(k) is densely homogene…