Cardinal functions on continuous images of orderable compacta and\n applications

2012/07/26 by Ahmad Farhat, Farhat, Ahmad
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Rough Sets and Fuzzy Logic

paper · pdf · doi:10.48550/arxiv.1207.6377

openalex publication_date 2012/07/26 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

The class of Hausdorff spaces that are continuous images of compact orderable\nspaces is studied by analyzing the relationship between the elements of this\nclass and compact orderable spaces in a back-and-forth fashion. Structure\nresults for this class are then obtained, as well as continuum-theoretic\nembedding results. Applications to Boolean algebras are also demonstrated,\nspecifically concerning the relationship between interval algebras and\npseudo-tree algebras.\n

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