Cantor-Kuratowski theorem in uniformizable spaces

2018/04/12 by Josiney A. Souza, Souza, Josiney A., Richard W. M. Alves +1
Mathematics · #54D20 #54E15 #Advanced Topology and Set Theory #FOS: Mathematics #Functional Equations Stability Results #General Topology (math.GN) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1804.04468

openalex publication_date 2018/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This manuscript extends the Cantor-Kuratowski intersection theorem from the setting of metric spaces to the setting of uniformizable spaces. Complete uniformizable spaces are revisited.

Related

• Cantor's intersection theorem in the setting of F-metric spaces
• On Nonempty Intersection Properties in Metric Spaces
• Quasi-uniform type spaces
• The Uniform Classification of Banach Spaces
• On dense subsets in spaces of metrics