Projective Maximality on H-closed extensions of Hausdorff Spaces
DOI:
https://doi.org/10.15381/pesquimat.v27.i2.28179Keywords:
Hausdorff Spaces, Open Filters, Katˇetov ExtensionAbstract
This article presents a modern view of the study of the H-closed extensions of a Hausdorff space X. Several questions are posed: How can H-closed extensions be constructed? Is it possible to compare these extensions? If so, does a maximal extension exist? These questions are answered affirmatively, demonstrating that the Katětov extension is the desired maximal H-closed extension. Furthermore, applications to the theory of extension of functions and HČ-complete spaces are presented.
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Copyright (c) 2024 Sandra Serrato Vargas, Bartleby Ordo˜nez Delgado
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