TY - JOUR
AU - Kohli, J.K.
AU - Das, A.K.
PY - 2005/04/01
Y2 - 2022/09/29
TI - On functionally θ-normal spaces
JF - Applied General Topology
JA - Appl. Gen. Topol.
VL - 6
IS - 1
SE -
DO - 10.4995/agt.2005.1960
UR - https://polipapers.upv.es/index.php/AGT/article/view/1960
SP - 1-14
AB - <p>Characterizations of functionally θ-normal spaces including the one that of Urysohn’s type lemma, are obtained. Interrelations among (functionally) θ-normal spaces and certain generalizations of normal spaces are discussed. It is shown that every almost regular (or mildly normal â‰¡ k-normal) θ-normal space is functionally θ-normal. Moreover, it is shown that every almost regular weakly θ-normal space is mildly normal. A factorization of functionally θ-normal space is given. A Tietze’s type theorem for weakly functionally θ-normal space is obtained. A variety of situations in mathematical literature wherein the spaces encountered are (functionally) θ-normal but not normal are illustrated.</p>
ER -