TY - JOUR
T1 - A classification of CO spaces which are continuous images of compact ordered spaces
AU - Bonnet, Robert
AU - Rubin, Matatyahu
N1 - Funding Information:
* Corresponding author. Tel.: +33 4 78 60 15 76; fax: +33 4 79 75 81 42. E-mail addresses: [email protected] (R. Bonnet), [email protected] (M. Rubin). 1 Supported by the “Center for Advanced Studies in Mathematics” (Ben Gurion University of the Negev, Beer Sheva).
PY - 2008/1/15
Y1 - 2008/1/15
N2 - A topological space X is called a CO space, if every closed subset of X is homeomorphic to some clopen subset of X. Every ordinal with its order topology is a CO space. This work gives a complete classification of CO spaces which are continuous images of compact ordered spaces.
AB - A topological space X is called a CO space, if every closed subset of X is homeomorphic to some clopen subset of X. Every ordinal with its order topology is a CO space. This work gives a complete classification of CO spaces which are continuous images of compact ordered spaces.
KW - Compact orderable spaces
KW - Continuous images
KW - Scattered spaces
KW - Superatomic Boolean algebras
UR - http://www.scopus.com/inward/record.url?scp=38049087044&partnerID=8YFLogxK
U2 - 10.1016/j.topol.2007.09.015
DO - 10.1016/j.topol.2007.09.015
M3 - Article
AN - SCOPUS:38049087044
SN - 0166-8641
VL - 155
SP - 375
EP - 411
JO - Topology and its Applications
JF - Topology and its Applications
IS - 5
ER -