Widely-connected sets in the bucket-handle continuum
| Autor: | Lipham, David Sumner |
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| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Fundamenta Mathematicae 240 (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.4064/fm378-3-2017 |
| Popis: | A connected topological space is said to be widely-connected if each of its non-degenerate connected subsets is dense in the entire space. The object of this paper is the construction of widely-connected subsets of the plane. We give a completely metrizable example that answers a question of Paul Erd\H{o}s and Howard Cook, while a similar example answers a question of Jerzy Mioduszewski. Comment: 15 pages, 5 figures |
| Databáze: | arXiv |
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