THE EXISTENCE OF A CONNECTED MEAGER IN ITSELF CDH SPACE IS INDEPENDENT OF

We show that the existence of a countable dense homogeneous metric space which is connected and meager in itself is independent of ZFC.

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Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2018-06, Vol.146 (6), p.2689-2695
Main Authors: HRUŠÁK, MICHAEL, VAN MILL, JAN
Format: Article
Language:English
Subjects:
G. TOPOLOGY
Online Access:Get full text
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Summary:We show that the existence of a countable dense homogeneous metric space which is connected and meager in itself is independent of ZFC.
ISSN:0002-9939
1088-6826