Many partition relations below density - Mathematics > LogicReport as inadecuate




Many partition relations below density - Mathematics > Logic - Download this document for free, or read online. Document in PDF available to download.

Abstract: We force 2^lambda to be large and for many pairs in the intervallambda,2^lambda a stronger version of the polarized partition relations hold.We apply this to problems in general topology. E.g. consistently, every2^lambda is successor of singular and for every Hausdorff regular space X,hdX <= sX^{+3}, hLX <= sX^{+3} and better for sX regular, via ahalf-graph partition relation. For the case sX=aleph 0 we get hdX, hLX<=aleph 2.



Author: Saharon Shelah

Source: https://arxiv.org/







Related documents