A homogeneous space whose complement is rigid

Andrea Medini; Jan van Mill; Lyubomyr Zdomskyy

A homogeneous space whose complement is rigid

General Topology 2014-10-03 v1 Logic

Authors: Andrea Medini , Jan van Mill , Lyubomyr Zdomskyy

Abstract

We construct a homogeneous subspace of $2^\omega$ whose complement is dense in $2^\omega$ and rigid. Using the same method, assuming Martin's Axiom, we also construct a countable dense homogeneous subspace of $2^\omega$ whose complement is dense in $2^\omega$ and rigid.

Keywords

general topology topological spaces simplicial complexes

Cite

@article{arxiv.1410.0559,
  title  = {A homogeneous space whose complement is rigid},
  author = {Andrea Medini and Jan van Mill and Lyubomyr Zdomskyy},
  journal= {arXiv preprint arXiv:1410.0559},
  year   = {2014}
}

Comments

9 pages

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