On a nice embedding and the Ascoli theorem

René Bartsch

doi:10.18453/rosdok_id00005910

zum übergeordneten Dokument

René Bartsch

On a nice embedding and the Ascoli theorem

University of Rostock, Institute of Mathematics, 2003

https://doi.org/10.18453/rosdok_id00005910

Abstract: Besides some remarks on hit-and-miss hyperspaces and (relative) compactness of unions of (relative) compact sets, and using these together with a natural map from a function space between topological spaces into a function space between their Vietoris hyperspaces, we derive Ascoli-like theorems for some set-open topologies, nearly related to the compact-open, and mainly for the compact-open topology itself. Some Ascoli-like statements are given, where all requirements are focused on the set of functions, whose (relative) compactness is in question, not on the base spaces.

Workingpaper Freier Zugang

Titel:

On a nice embedding and the Ascoli theorem

Schriftenreihe:

Preprints aus dem Institut für Mathematik, 03/4

Beteiligte Personen:

René Bartsch[VerfasserIn]
	0009-0009-2471-2874
	124205445

Zusammenfassung:

Besides some remarks on hit-and-miss hyperspaces and (relative) compactness of unions of (relative) compact sets, and using these together with a natural map from a function space between topological spaces into a function space between their Vietoris hyperspaces, we derive Ascoli-like theorems for some set-open topologies, nearly related to the compact-open, and mainly for the compact-open topology itself. Some Ascoli-like statements are given, where all requirements are focused on the set of functions, whose (relative) compactness is in question, not on the base spaces. [Englisch]

Dokumenttyp:

Workingpaper

Einrichtung:

Mathematisch-Naturwissenschaftliche Fakultät

Sprache:

Englisch

Sachgruppe der DNB:

510 Mathematik

Umfang:

1 Online-Ressource (19 Seiten)

Veröffentlichung /
Entstehung:

Rostock: University of Rostock, Institute of Mathematics