Recent Applications of Totally Proper Forcing

نویسندگان

  • TODD EISWORTH
  • PETER NYIKOS
  • Mary Ellen Rudin
  • Gary Gruenhage
چکیده

A totally proper poset is a partially ordered set which is proper and has the property that forcing with it does not add reals This announcement has to do with various uses of these kinds of posets either by themselves or in combination with other kinds of proper posets to construct models of set the ory in which various strong topological statements hold Some of these statements have not been known to be consistent be fore at all while the consistency of others was heretofore only known in models of MA CH whereas all the models we describe here satisfy and most of them satisfy CH as well

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تاریخ انتشار 2006