TY - JOUR
T1 - Notes on selection principles in topology (I)
T2 - Paracompactness
AU - Babinkostova, Liljana
AU - Kočinac, Ljubiša D.R.
AU - Scheepers, Marion
PY - 2005/7
Y1 - 2005/7
N2 - G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.
AB - G. Gruenhage gave a characterization of paracompactness of locally compact spaces in terms of game theory ([6]). Starting from that result we give another such characterization using a selective version of that game, and study a selection principle in the class of locally compact spaces and its relationships with game theory and a Ramseyan partition relation. We also consider a selective version of paracompactness.
KW - Game theory
KW - Locally compact
KW - Moving-off family
KW - Paracompact
KW - Ramsey theory
KW - Selection principles
UR - http://www.scopus.com/inward/record.url?scp=21944457423&partnerID=8YFLogxK
U2 - 10.4134/JKMS.2005.42.4.709
DO - 10.4134/JKMS.2005.42.4.709
M3 - Article
AN - SCOPUS:21944457423
SN - 0304-9914
VL - 42
SP - 709
EP - 721
JO - Journal of the Korean Mathematical Society
JF - Journal of the Korean Mathematical Society
IS - 4
ER -