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Representable topologies and locally connected spaces

2007; Elsevier BV; Volume: 154; Issue: 10 Linguagem: Inglês

10.1016/j.topol.2006.05.011

1879-3207

María Jesús Campión, Juan C. Candeal, Esteban Induráin, Ghanshyam B. Mehta,

Advanced Algebra and Logic

The objective of this paper is to study certain order-theoretic properties of locally connected topologies. In the main theorem we prove that the assertion that a locally connected topology which satisfies the countable chain condition has the continuous representability property is undecidable in ZFC set theory. Some related problems and generalizations are also included.