The existence of a connected meager in itself $\mathsf {CDH}$ space is independent of $\mathsf {ZFC}$
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- by Michael Hrušák and Jan van Mill PDF
- Proc. Amer. Math. Soc. 146 (2018), 2689-2695 Request permission
Abstract:
We show that the existence of a countable dense homogeneous metric space which is connected and meager in itself is independent of $\mathsf {ZFC}$.References
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Additional Information
- Michael Hrušák
- Affiliation: Centro de Ciencas Matemáticas, UNAM, A.P. 61-3, Xangari, Morelia, Michoacán, 58089, México
- MR Author ID: 602083
- ORCID: 0000-0002-1692-2216
- Email: michael@matmor.unam.mx
- Jan van Mill
- Affiliation: KdV Institute for Mathematics, University of Amsterdam, Science Park 105-107, P.O. Box 94248, 1090 GE Amsterdam, The Netherlands
- MR Author ID: 124825
- Email: j.vanMill@uva.nl
- Received by editor(s): May 18, 2016
- Received by editor(s) in revised form: August 6, 2016
- Published electronically: February 28, 2018
- Additional Notes: The first author was supported by a PAPIIT grant IN 108014 and CONACyT grant 177758
The second author is pleased to thank the Centro de Ciencas Matemáticas in Morelia for the generous hospitality and support - Communicated by: Mirna Džamonja
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 2689-2695
- MSC (2010): Primary 54H05, 03E15, 54E50
- DOI: https://doi.org/10.1090/proc/13434
- MathSciNet review: 3778168