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

VL - 4

SP - 43

EP - 50

JO - General Topology and its Applications

JF - General Topology and its Applications

SN - 0016-660X

IS - 1

ER -