Extension of continuous functions and weakly developable spaces

2013/09/21 by Boualem Alleche, Alleche, Boualem
Computer Science · Decision Sciences · Mathematics · #54C55 #54C65 #54E30 #54E35 #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Primary 54E25 #Secondary 54C20

paper · pdf · doi:10.48550/arxiv.1309.5484

openalex publication_date 2013/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to investigate weakly developable spaces. For a comparison with semi-metrizable spaces, we introduce and study a class of spaces among those of weakly developable spaces, semimetrizable spaces and first countable spaces having a G_delta-diagonal. Some results are obtained and applications to the problem of extending continuous functions are discussed.

Related

• A study on delta compact spaces
• Extensions of Continuous Function in LG-Topology
• Spaces having a small diagonal
• A note on the Alster, Menger and D-type properties
• On the product of almost discrete Grothendieck spaces