Remark on the Failure of Martin's Axiom

Mathematics – Logic

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

Let m be the least cardinal k such that MA(k) fails. The only known model for
"m is singular" was constructed by Kunen. In Kunen's model cof(m)=omega_1. It
is unknown whether "omega_1 < cof(m) < m" is consistent. The purpose of this
paper is to present a proof of Kunen's result and to identify the difficulties
of generalizing this result to an arbitrary uncountable cofinality.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Remark on the Failure of Martin's Axiom does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Remark on the Failure of Martin's Axiom, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Remark on the Failure of Martin's Axiom will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-487255

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.