Variations on countable tightness
Istv\'an Juh\'asz, Jan Van Mill
TL;DR
This paper explores nine related tightness conditions in topology, analyzing their interconnections and highlighting open problems in the study of countable tightness variations.
Contribution
It introduces and examines nine natural variations of countable tightness, establishing their relationships and posing open questions for future research.
Findings
Identified interrelationships among the nine tightness conditions
Raised several open problems in the area of countable tightness
Provided a framework for understanding variations of countable tightness
Abstract
We consider 9 natural tightness conditions for topological spaces that are all variations on countable tightness and investigate the interrelationships between them. Several natural open problems are raised.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Rings, Modules, and Algebras · Advanced Algebra and Logic