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A Connected, not Separably Connected Metric Space
Simon, Petr
2001
Abstract
A separably connected space is a topological space, where
every two points may be joined by a separable connected subspace.
We present an example of a connected, but not separably
connected metric space and of a connected metric space, which
contains no connected separable subspaces other than one-point
ones.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2001) suppl.2
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Petr Simon, "A Connected, not Separably Connected Metric Space", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2001) suppl.2, pp. 127–133.
Languages
en
File(s)