TY - JOUR
T1 - On covering properties of subspaces of R.H. Bing's example G
AU - Lewis, I. W.
PY - 1977/3
Y1 - 1977/3
N2 - Let F be the space in Bing's example G. It is shown that any subspace of F which is para-Lindelöf, screenable, or collectionwise Hausdorff is also hereditarily hypocompact. Other theorems on the relations between covering properties in subspaces of F are also presented. Mesocompactness, meso-Lindelöfness, metacompactness, meta-Lindelöfness, subparacompactness, θ-refinability, δθ-refinability, and preparacompactness are investigated in several subspaces of F. The subspaces presented by Michael, Hodel and Burke are described as well as several additional subspaces which have not been previously investigated.
AB - Let F be the space in Bing's example G. It is shown that any subspace of F which is para-Lindelöf, screenable, or collectionwise Hausdorff is also hereditarily hypocompact. Other theorems on the relations between covering properties in subspaces of F are also presented. Mesocompactness, meso-Lindelöfness, metacompactness, meta-Lindelöfness, subparacompactness, θ-refinability, δθ-refinability, and preparacompactness are investigated in several subspaces of F. The subspaces presented by Michael, Hodel and Burke are described as well as several additional subspaces which have not been previously investigated.
UR - http://www.scopus.com/inward/record.url?scp=15944369207&partnerID=8YFLogxK
U2 - 10.1016/0016-660X(77)90013-7
DO - 10.1016/0016-660X(77)90013-7
M3 - Article
AN - SCOPUS:15944369207
SN - 0016-660X
VL - 7
SP - 109
EP - 122
JO - General Topology and its Applications
JF - General Topology and its Applications
IS - 1
ER -