English

Many simple cardinal invariants

Logic 2016-09-06 v1

Abstract

For g < f in omega^omega we define c(f,g) be the least number of uniform trees with g-splitting needed to cover a uniform tree with f-splitting. We show that we can simultaneously force aleph_1 many different values for different functions (f,g). In the language of Blass: There may be aleph_1 many distinct uniform Pi^0_1 characteristics.

Keywords

Cite

@article{arxiv.math/9205208,
  title  = {Many simple cardinal invariants},
  author = {Martin Goldstern and Saharon Shelah},
  journal= {arXiv preprint arXiv:math/9205208},
  year   = {2016}
}