The Bounded-open Topology and its Relatives
The Bounded-open Topology and its Relatives
In questo articolo viene esaminata la topologia aperta-limitata di Buchwalter sull'insieme di tutte le funzioni continue a valori reali sopra uno spazio di Tychonoff in condizioni generali. La topologia menzionata viene inoltre confrontata con numerevoli topologie più о meno note.
This paper studies Buchwalter’s bounded-open topology on the set of all continuous real-valued functions on a Tychonoff space in a general setting and compares this topology with several well-known and lesser known topologies.
- University of Trieste Italy
Compactness, realcompact, 54D60, 54D30, bounded set, 54C35, 54G99, 54G10, Function spaces in general topology, uniform topology on bounded sets, pseudocompact, Realcompactness and realcompactification, \(P\)-spaces
Compactness, realcompact, 54D60, 54D30, bounded set, 54C35, 54G99, 54G10, Function spaces in general topology, uniform topology on bounded sets, pseudocompact, Realcompactness and realcompactification, \(P\)-spaces
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