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- Title
The Selectively Pseudocompact-Open Topology on C(X).
- Authors
Martínez-Cadena, Juan Alberto; Tamariz-Mascarúa, Ángel
- Abstract
This paper studies the selectively pseudocompact-open topology on the set of the real-valued continuous functions on a Tychonoff space, and compares this topology with the α -open topology and the topology of uniform convergence on the elements of α where α is one of the following: { X } , the finite subsets of X, the compact subsets of X, the countably compact subsets of X, and the pseudocompact subsets of X. Moreover, it also analyzes the almost cc- ω -bounded spaces.
- Subjects
COMPACT spaces (Topology); TOPOLOGY; FUNCTION spaces; CONTINUOUS functions; BAIRE spaces
- Publication
Bulletin of the Iranian Mathematical Society, 2021, Vol 47, Issue 5, p1611
- ISSN
1018-6301
- Publication type
Article
- DOI
10.1007/s41980-020-00462-x