TY - JOUR
T1 - A Topological reflection principle equivalent to shelah's strong hypothesis
AU - Rinot, Assaf
PY - 2008/12
Y1 - 2008/12
N2 - We notice that Shelah's Strong Hypothesis is equivalent to the following reflection principle: Suppose τX, Tτ is a first-countable space whose density is a regular cardinal, K. If every separable subspace of X is of cardinality at most K, then the cardinality of X is K.
AB - We notice that Shelah's Strong Hypothesis is equivalent to the following reflection principle: Suppose τX, Tτ is a first-countable space whose density is a regular cardinal, K. If every separable subspace of X is of cardinality at most K, then the cardinality of X is K.
KW - Countably tight
KW - First countable
KW - Shelah's Strong Hypothesis
UR - http://www.scopus.com/inward/record.url?scp=77950623331&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-08-09411-2
DO - 10.1090/S0002-9939-08-09411-2
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SN - 0002-9939
VL - 136
SP - 4413
EP - 4416
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
IS - 12
ER -