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

Sergey Medvedev

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arXiv · 1110.1003

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

Sergey Medvedev

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Abstract

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 homogeneous with respect to Q(k)^ωif k > ω. Properties of some non-separable h-homogeneous absolute F_{σδ}-sets and G_{δσ}-sets are investigated.

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Sergey Medvedev. 2011-10-05. Non-separable h-homogeneous absolute F_{σδ}-spaces and G_{δσ}-spaces. https://arxiv.org/abs/1110.1003

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