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Topological Partition Relations of the Form ω*→(Y) 1 2 a
Author(s) -
COMFORT W. W.,
KATO AKIO,
SHELAH SAHARON
Publication year - 1993
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1993.tb52510.x
Subject(s) - partition (number theory) , topology (electrical circuits) , physics , combinatorics , mathematics
. THEOREM. The topological partition relation ω*→ (Y) 1 2 (a) Fails for every space Y with |Y| |Mg 2 c ; (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.