TY - JOUR
AU - Almontashery, Khulod
AU - Kalantan, Lutfi
PY - 2016/10/03
Y2 - 2024/05/28
TI - Results about the Alexandroff duplicate space
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 17
IS - 2
SE -
DO - 10.4995/agt.2016.4521
UR - https://polipapers.upv.es/index.php/AGT/article/view/4521
SP - 117-122
AB - In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following properties: extremally disconnected, weakly extremally disconnected, quasi-normal, pseudo compact. We prove that if X is $\alpha$-normal, epinormal, or has property $\omega D$, then so is A(X). We prove almost normality is preserved by A(X) under special conditions.
ER -