Abstract
We construct a homogeneous subspace of 2ω whose complement is dense in 2ω and rigid. Using the same method, assuming Martin’s Axiom, we also construct a countable dense homogeneous subspace of 2ω whose complement is dense in 2ω and rigid.
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The first-listed and third-listed authors were supported by the FWF grant I 1209-N25.
The second-listed author acknowledges generous hospitality and support from the Kurt Gödel Research Center for Mathematical Logic.
The third-listed author also thanks the Austrian Academy of Sciences for its generous support through the APART Program.
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Medini, A., van Mill, J. & Zdomskyy, L. A homogeneous space whose complement is rigid. Isr. J. Math. 214, 583–595 (2016). https://doi.org/10.1007/s11856-016-1348-z
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DOI: https://doi.org/10.1007/s11856-016-1348-z