Geodesic
A homogeneous space of point-countable but not of countable type
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 3, pp. 459-463.

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We construct an example of a homogeneous space which is of point-countable but not of countable type. This shows that a result of Pasynkov cannot be generalized from topological groups to homogeneous spaces.
Classification : 54D40, 54D99
Keywords: homogeneous; coset space; topological group 
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Basile, Désirée; van Mill, Jan. A homogeneous space of point-countable but not of countable type. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 3, pp. 459-463. http://geodesic.mathdoc.fr/item/CMUC_2007__48_3_a6/