How to drive our families mad

Details How to drive our families mad How to drive our families mad

2006-11-24

arxiv.org/abs/math/0611744v1

Mathematics

Logic

Scientific paper

Given a family $F$ of pairwise almost disjoint sets on a countable set $S$, we study families $F^+$ of maximal almost disjoint (mad) sets extending $F$. We define $a^+(F)$ to be the minimal possible cardinality of $F^+\setminus F$ for such $F^+$, and $a^+(\kappa)=\sup\{a^+(F): |F| \leq \kappa \}$. We show that all infinite cardinal less than or equal to the continuum continuum can be represented as $a^+(F)$ for some almost disjoint $F$ and that the inequalities $\aleph_1=a

Affiliated with

Also associated with

No associations

Rating

How to drive our families mad 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 How to drive our families mad, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and How to drive our families mad will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-540295