TY - JOUR
AU - Georgiou, D. N.
AU - Iliadis, Stavros
PY - 2005/10/01
Y2 - 2024/07/20
TI - A note on locally v-bounded spaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 6
IS - 2
SE -
DO - 10.4995/agt.2005.1953
UR - https://polipapers.upv.es/index.php/AGT/article/view/1953
SP - 143-148
AB - <p>In this paper, on the family O(Y ) of all open subsets of a space Y (actually on a complete lattice) we define the so called strong v-Scott topology, denoted by τ<sup>8</sup><sub>v</sub>, where v is an infinite cardinal. This topology defines on the set C(Y,Z) of all continuous functions on the space Y to a space Z a topology τ<sup>8</sup><sub>v.</sub> The topology τ<sup>8</sup><sub>v</sub>, is always larger than or equal to the strong Isbell topology. We study the topology τ<sup>8</sup><sub>v</sub> in the case where Y is a locally v-bounded space.</p>
ER -