TY - JOUR
T1 - Topological Partition Relations of the Form ω*→(Y)12
AU - COMFORT, W. W.
AU - KATO, AKIO
AU - SHELAH, SAHARON
PY - 1993/12
Y1 - 1993/12
N2 - ABSTRACT. THEOREM. The topological partition relation ω*→ (Y)12 (a) Fails for every space Y with |Y| |Mg 2c; (b) Holds for Y discrete if and only if |Y| |Ml c; (c) Holds for certain nondiscrete P‐spaces Y; (d) Fails for Y=ω Imu {p} with p∉ω*; (e) Fails for Y infinite and countably compact.
AB - ABSTRACT. THEOREM. The topological partition relation ω*→ (Y)12 (a) Fails for every space Y with |Y| |Mg 2c; (b) Holds for Y discrete if and only if |Y| |Ml c; (c) Holds for certain nondiscrete P‐spaces Y; (d) Fails for Y=ω Imu {p} with p∉ω*; (e) Fails for Y infinite and countably compact.
KW - P‐space
KW - Stone‐Cech remainder
KW - Topological Ramsey theory
KW - countably compact space
KW - topological partition relation
UR - http://www.scopus.com/inward/record.url?scp=0027884815&partnerID=8YFLogxK
U2 - 10.1111/j.1749-6632.1993.tb52510.x
DO - 10.1111/j.1749-6632.1993.tb52510.x
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AN - SCOPUS:0027884815
SN - 0077-8923
VL - 704
SP - 70
EP - 79
JO - Annals of the New York Academy of Sciences
JF - Annals of the New York Academy of Sciences
IS - 1
ER -