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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Strong local homogeneity does not imply countable dense homogeneity


Author: Jan van Mill
Journal: Proc. Amer. Math. Soc. 84 (1982), 143-148
MSC: Primary 54G20; Secondary 54F25
DOI: https://doi.org/10.1090/S0002-9939-1982-0633296-0
MathSciNet review: 633296
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Abstract: We give an example of a connected and locally connected subspace of the plane which is Baire and strongly locally homogeneous (as a consequence, the example is homogeneous) but which is not countable dense homogeneous.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0633296-0
Article copyright: © Copyright 1982 American Mathematical Society