Compact spaces, elementary submodels, and the countable chain condition, II |
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Authors: | Franklin D Tall |
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Institution: | Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 3G3, Canada |
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Abstract: | Given a space 〈X,T〉 in an elementary submodel of H(θ), define XM to be X∩M with the topology generated by . It is established that if XM is compact and satisfies the countable chain condition, while X is not scattered and has cardinality less than the first inaccessible cardinal, then X=XM. If the character of XM is a member of M, then “inaccessible” may be replaced by “1-extendible”. |
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Keywords: | primary 54030 54A35 03E35 03E55 03E75 secondary 54G12 |
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