Title of article
Countable dense homogeneity and the double arrow space
Author/Authors
Hernلndez-Gutiérrez، نويسنده , , Rodrigo، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 2013
Pages
6
From page
1123
To page
1128
Abstract
Let A denote the Alexandroff–Urysohn double arrow space. We prove the following results: (a) A × 2 ω is not countable dense homogeneous; (b) A ω is not countable dense homogeneous; (c) A has exactly c types of countable dense subsets. These results answer questions by Arhangelʼskiĭ, Hrušák and van Mill.
Keywords
Countable dense homogeneous , Alexandroff–Urysohn double arrow , Infinite power
Journal title
Topology and its Applications
Serial Year
2013
Journal title
Topology and its Applications
Record number
1583789
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