2017/01/02 by Rodrigo R. Dias, Dias, Rodrigo R., Dániel T. Soukup +1
Computer Science · Decision Sciences · Mathematics · #03E55 #54A25 #54A35 #54D65 #Advanced Banach Space Theory #Advanced Topology and Set Theory #Digital Image Processing Techniques #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO)
paper · pdf · doi:10.48550/arxiv.1701.00356
openalex publication_date 2017/01/02 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28
The main purpose of this paper is to study e-separable spaces, originally introduced by Kurepa as K0' spaces; we call a space X e-separable iff X has a dense set which is the union of countably many closed discrete sets. We primarily focus on the behaviour of e-separable spaces under products and the cardinal invariants that are naturally related to e-separable spaces. Our main results show that the statement "there is a product of at most \mathfrak c many e-separable spaces that fails to be e-separable'" is equiconsistent with the existence of a weakly compact cardinal.