Year: 2026
Type: article
Abstract: We prove that if X is an infinite Tychonoff space, then no compactification of Cp(X) or Ck(X) has a countably compact remainder. This motivates the question on whether the result continues to hold for all locally convex topological vector spaces over the reals. We will show that this is not the case for many of such spaces.
Source: Applied General Topology
DOI: 10.4995/agt.25866
Authors: Taras Banakh, Angelo Bella
Institutions: Lviv University, University of Catania
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7224126189