Absolutes of Hausdorff spaces and cardinal invariants F_\te and t_\te

2012/06/28 by Filippo Cammaroto, Cammaroto, Filippo, Andrei Catalioto +3
Computer Science · Mathematics · #54A25 #54D10 #54D25 #54D35 #54G20 #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Rings, Modules, and Algebras #math.GN #msc:54A25 #msc:54D10 #msc:54D25 #msc:54D35 #msc:54G20

paper · pdf · doi:10.48550/arxiv.1206.6556

This paper has been withdrawn by the author due to an error in chapter 3

openalex publication_date 2012/06/28 · arxiv created 2012/12/17 · arxiv updated 2012/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This article extends the recent study of the cardinal functions F_θ and t_θ for H-closed Urysohn spaces and the research of I. Bandlov and V.I. Ponomarev on tightness type of absolutes. In particular, basic results are obtained and used to study the relationships among the cardinal functions t, t_θ, F and F_θ in the context of Iliadis and Banaschewski absolutes of Hausdorff spaces.

Related

• Cardinal functions F_θ(X) and t_θ(X) for H-closed spaces
• On the weak tightness, Hausdorff spaces, and power homogeneous compacta
• New bounds on the cardinality of n-Hausdorff and n-Urysohn spaces
• On the cardinality of Hausdorff spaces and H-closed spaces
• Non-Hausdorff T₁ Properties