TY - JOUR
T1 - Cofinality spectrum theorems in model theory, set theory, and general topology
AU - Malliaris, M.
AU - Shelah, S.
N1 - Publisher Copyright:
© 2015 American Mathematical Society.
PY - 2015/1
Y1 - 2015/1
N2 - We connect and solve two long-standing open problems in quite different areas: the model-theoretic question of whether SOP2 is maximal in Keisler’s order, and the question from general topology/set theory of whether p=t, the oldest problem on cardinal invariants of the continuum. We do so by showing these problems can be translated into instances of a more fundamental problem which we state and solve completely, using model-theoretic methods.
AB - We connect and solve two long-standing open problems in quite different areas: the model-theoretic question of whether SOP2 is maximal in Keisler’s order, and the question from general topology/set theory of whether p=t, the oldest problem on cardinal invariants of the continuum. We do so by showing these problems can be translated into instances of a more fundamental problem which we state and solve completely, using model-theoretic methods.
UR - http://www.scopus.com/inward/record.url?scp=84943188370&partnerID=8YFLogxK
U2 - 10.1090/jams830
DO - 10.1090/jams830
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AN - SCOPUS:84943188370
SN - 0894-0347
VL - 29
SP - 237
EP - 297
JO - Journal of the American Mathematical Society
JF - Journal of the American Mathematical Society
IS - 1
ER -