TY - JOUR
AU - Grabner, Eliser
AU - Grabner, Gary
AU - Miyazaki, Kazumi
AU - Tartir, Jamal
PY - 2004/10/01
Y2 - 2024/08/16
TI - Relative Collectionwise Normality
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 5
IS - 2
SE -
DO - 10.4995/agt.2004.1970
UR - https://polipapers.upv.es/index.php/AGT/article/view/1970
SP - 199-212
AB - <p>In this paper we study properties of relative collectionwise normality type based on relative properties of normality type introduced by Arhangel’skii and Genedi.</p> <p>Theorem Suppose Y is strongly regular in the space X. If Y is paracompact in X then Y is collectionwise normal in X.</p> <p>Example A T<sub>2</sub> space X having a subspace which is 1âˆ’ paracompact in X but not collectionwise normal in X.</p> <p>Theorem Suppose that Y is s- regular in the space X. If Y is metacompact in X and strongly collectionwise normal in X then Y is paracompact in X.</p>
ER -