English

Combinatorial aspects of F(sigma) filters with an application to N-sets

Logic 2008-02-03 v1

Abstract

We discuss F(sigma) filters and show that the minimum size of a filter base generating an undiagonalizable filter included in some F(sigma) filter is the better known bounded evasion number e(ubd). An application to N-sets from trigonometric series is given by showing that if A is an N-set and B has size less e(ubd), then A+B is again an N-set.

Keywords

Cite

@article{arxiv.math/9509212,
  title  = {Combinatorial aspects of F(sigma) filters with an application to N-sets},
  author = {Claude Laflamme},
  journal= {arXiv preprint arXiv:math/9509212},
  year   = {2008}
}