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http://hdl.handle.net/10077/4292
Title: | A Connected, not Separably Connected Metric Space | Authors: | Simon, Petr | Issue Date: | 2001 | 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. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics 32 (2001) suppl.2 |
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. |
Type: | Article | URI: | http://hdl.handle.net/10077/4292 | ISSN: | 0049-4704 |
Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.32 (2001) s2 |
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