The quasi Isbell topology on function spaces

D. N. Georgiou, and A. C. Megaritis. "The quasi Isbell topology on function spaces." Colloquium Mathematicae 141.1 (2015): 13-24. <http://eudml.org/doc/286146>.

@article{D2015,
abstract = {In this paper, on the family (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.},
author = {D. N. Georgiou, A. C. Megaritis},
journal = {Colloquium Mathematicae},
keywords = {quasi Scott topology; quasi Isbell topology; function spaces},
language = {eng},
number = {1},
pages = {13-24},
title = {The quasi Isbell topology on function spaces},
url = {http://eudml.org/doc/286146},
volume = {141},
year = {2015},
}

TY - JOUR
AU - D. N. Georgiou
AU - A. C. Megaritis
TI - The quasi Isbell topology on function spaces
JO - Colloquium Mathematicae
PY - 2015
VL - 141
IS - 1
SP - 13
EP - 24
AB - In this paper, on the family (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.
LA - eng
KW - quasi Scott topology; quasi Isbell topology; function spaces
UR - http://eudml.org/doc/286146
ER -