Anti-homogeneous Partitions of a Topological Space Sh668 Saharon: §5 + Glossary?
نویسنده
چکیده
We prove the consistency (modulo supercompact) of a negative answer to the Cantor discontinuum partition problem (i.e., some Hausdorff compact space cannot be partitioned to two sets not containing a closed copy of Cantor discontinuum). In this model we have CH. Without CH we get consistency results using a pcf assumption, close relatives of which are necessary for such results; so we try to deal with equiconsistency. Saharon: §5 + glossary? This was presented in a lecture in the Logic Colloquium, Berlin ’97, and then in the set theory workshop, Budapest, Summer ’98 I would like to thank Alice Leonhardt for the beautiful typing. Done Sept. (and Dec.) 1997 First Typed 97/Dec/16 Changes together with proofreading to the Journal, 2003/6 This work ws partially supported by The Israel Science Foundation Latest Revision 06/Mar/11 Typeset by AMS-TEX 1
منابع مشابه
Anti-homogeneous Partitions of a Topological Space
We prove the consistency (modulo supercompact) of a negative answer to the Cantor discontinuum partition problem (i.e., some Hausdorff compact space cannot be partitioned to two sets not containing a closed copy of Cantor discontinuum). In this model we have CH. Without CH we get consistency results using a pcf assumption, close relatives of which are necessary for such results; so we try to de...
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