@article{Grabner_Grabner_Miyazaki_Tartir_2004, title={Relative Collectionwise Normality}, volume={5}, url={https://polipapers.upv.es/index.php/AGT/article/view/1970}, DOI={10.4995/agt.2004.1970}, abstractNote={<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>}, number={2}, journal={Applied General Topology}, author={Grabner, Eliser and Grabner, Gary and Miyazaki, Kazumi and Tartir, Jamal}, year={2004}, month={Oct.}, pages={199–212} }