A homogeneous space whose complement is rigid

2014/10/02 by Medini, Andrea, van Mill, Jan, Zdomskyy, Lyubomyr
#FOS: Mathematics #General Topology (math.GN) #Logic (math.LO)

paper · doi:10.48550/arxiv.1410.0559

Abstract

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

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