$\varkappa$-metrizable compacta and superextensions
Vesko Valov
TL;DR
This paper characterizes $$-metrizable compact spaces using extension properties of functions and retractions into superextensions, advancing the understanding of their topological structure.
Contribution
It provides a new characterization of $$-metrizable compacta through extension and retraction properties, linking them to superextensions.
Findings
Characterization of $$-metrizable compacta
Extension of functions into superextensions
Usco retractions into superextensions
Abstract
A characterization of -metrizable compacta in terms of extension of functions and usco retractions into superextensions is established.
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Taxonomy
TopicsAdvanced Topology and Set Theory · Fuzzy and Soft Set Theory · Mathematical and Theoretical Analysis