The quasi Isbell topology on function spaces

• Autorzy: D. N. Georgiou , A. C. Megaritis
• Języki publikacji: EN

Abstrakty

EN

In this paper, on the family 𝓞(Y) of all open subsets of a space Y we define the so called quasi Scott topology, denoted by $τ_{qSc}$. This topology defines in a standard way, on the set C(Y,Z) of all continuous maps of the space Y to a space Z, a topology $t_{qIs}$ called the quasi Isbell topology. The latter topology is always larger than or equal to the Isbell topology, and smaller than or equal to the strong Isbell topology. Results and problems concerning the topology $t_{qIs}$ are given.

Kategorie tematyczne

• 54C35: Function spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2015
• Tom: 141
• Numer: 1
• Strony: 13-24

Daty

wydano

2015

Twórcy

autor

D. N. Georgiou

• Department of Mathematics, University of Patras, 265 04 Patras, Greece

autor

A. C. Megaritis

• Department of Accounting and Finance, Technological Educational Institute, of Western Greece, 302 00 Messolonghi, Greece

Identyfikatory

DOI

10.4064/cm141-1-2