TY - JOUR
T1 - On certain generalizations of developable spaces
AU - Bennett, H. R.
AU - Berney, E. S.
PY - 1974/3
Y1 - 1974/3
N2 - In this note, quasi-developable spaces and spaces with bases of countable order are studied. It is shown that a θ-refinable, quasi-developable space is a Moore space (and, hence, a space with a base of countable order) if it is a β-space, a wΔ-space, a p-space or an M-space. A hereditarily weak θ-refinable space with a base of countable order is a quasi-developable space. A space with a Gδ-diagonal has a base of countable order if it is a w{up triangle, open}-space, p-space or an M-space.
AB - In this note, quasi-developable spaces and spaces with bases of countable order are studied. It is shown that a θ-refinable, quasi-developable space is a Moore space (and, hence, a space with a base of countable order) if it is a β-space, a wΔ-space, a p-space or an M-space. A hereditarily weak θ-refinable space with a base of countable order is a quasi-developable space. A space with a Gδ-diagonal has a base of countable order if it is a w{up triangle, open}-space, p-space or an M-space.
UR - http://www.scopus.com/inward/record.url?scp=0013477510&partnerID=8YFLogxK
U2 - 10.1016/0016-660X(74)90004-X
DO - 10.1016/0016-660X(74)90004-X
M3 - Article
AN - SCOPUS:0013477510
SN - 0016-660X
VL - 4
SP - 43
EP - 50
JO - General Topology and its Applications
JF - General Topology and its Applications
IS - 1
ER -