Non-separable h-homogeneous absolute F_{σδ}-spaces and G_{δσ}-spaces

Details Non-separable h-homogeneous absolute F_{σδ}-spaces and G_{δσ}-spaces Non-separable h-homogeneous absolute F_{σδ}-spaces and G_{δσ}-spaces

2011-10-05

arxiv.org/abs/1110.1003v1

Mathematics

General Topology

Scientific paper

Denote by Q(k) a \sigma-discrete metric weight-homogeneous space of weight k.
We give an internal description of the space Q(k)^\omega. We prove that the
Baire space B(k) is densely homogeneous with respect to Q(k)^\omega if k >
\omega. Properties of some non-separable h-homogeneous absolute F_{\sigma
\delta}-sets and G_{\delta \sigma}-sets are investigated.

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