A homogeneous space whose complement is rigid
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2014
- DOI:
- 10.48550/arXiv.1410.0559
- arXiv:
- arXiv:1410.0559
- Bibcode:
- 2014arXiv1410.0559M
- Keywords:
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- Mathematics - General Topology;
- Mathematics - Logic
- E-Print:
- 9 pages