Metrizable DH-spaces of the first category

Sergey Medvedev

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arXiv · 1401.7964

Metrizable DH-spaces of the first category

Sergey Medvedev

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Abstract

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 $\frak{c}$ types of countable dense subsets. We suggest a generalization of the λ-set for non-separable spaces. Let X be an h-homogeneous Λ-set. Then X is densely homogeneous and (X \setminus A) is homeomorphic to X for every σ-discrete A \subset X.

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BibTeX RIS

Sergey Medvedev. 2014-02-01. Metrizable DH-spaces of the first category. https://arxiv.org/abs/1401.7964

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