Locally Connected HL Compacta
Kenneth Kunen
TL;DR
This paper demonstrates the existence of a specific type of compact space with local connectivity and hereditary Lindelöf property that is not metrizable, under certain set-theoretic assumptions.
Contribution
It shows, consistent with MA plus not CH, that such a non-metrizable, locally connected hereditarily Lindelöf compact space exists.
Findings
Existence of a non-metrizable, locally connected hereditarily Lindelöf compact space under MA+not CH
Consistency results in set theory regarding topological spaces
Advances understanding of the relationship between set theory and topology
Abstract
It is consistent with MA plus not CH that there is a locally connected hereditarily Lindelof compact space which is not metrizable.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Advanced Banach Space Theory · Computability, Logic, AI Algorithms