TL;DR
This paper demonstrates the existence of widely-connected topological spaces with arbitrarily large sizes, addressing a previously open question in the field.
Contribution
It constructs examples of large widely-connected spaces, expanding understanding of their possible cardinalities.
Findings
Existence of arbitrarily large widely-connected spaces
Answers a question posed by David Bellamy
Provides new examples in topological connectivity
Abstract
We show that there are widely-connected spaces of arbitrarily large cardinality, answering a question by David Bellamy.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Computability, Logic, AI Algorithms