A homogeneous space whose complement is rigid
| Authors |
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| Publication date | 07-2016 |
| Journal | Israel Journal of Mathematics |
| Volume | Issue number | 214 | 2 |
| Pages (from-to) | 583–595 |
| Organisations |
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| 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. 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. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1007/s11856-016-1348-z |
| Published at | https://arxiv.org/abs/1410.0559 |
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