Critical cardinalities and additivity properties of combinatorial notions of smallness

Details Critical cardinalities and additivity properties of combinatorial notions of smallness Critical cardinalities and additivity properties of combinatorial notions of smallness

2003-04-02

arxiv.org/abs/math/0304019v7

Journal of Applied Analysis 9 (2003), 149--162

Mathematics

Logic

Small updates

Scientific paper

10.1515/JAA.2003.149

Motivated by the minimal tower problem, an earlier work studied diagonalizations of covers where the covers are related to linear quasiorders (tau-covers). We deal with two types of combinatorial questions which arise from this study. 1. Two new cardinals introduced in the topological study are expressed in terms of well known cardinals characteristics of the continuum. 2. We study the additivity numbers of the combinatorial notions corresponding to the topological diagonalization notions. This gives new insights on the structure of the eventual dominance ordering on the Baire space, the almost inclusion ordering on the Rothberger space, and the interactions between them.

Affiliated with

Also associated with

No associations

Rating

Critical cardinalities and additivity properties of combinatorial notions of smallness 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 Critical cardinalities and additivity properties of combinatorial notions of smallness, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical cardinalities and additivity properties of combinatorial notions of smallness will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125391