A nonstandard take on central sets
Combinatorics
2018-12-21 v1 Logic
Abstract
We present the basic theory of central subsets of semigroups from the nonstandard perspective. A key feature of this perspective is the replacement of the algebra of ultrafilters with the algebra of elements of iterated hyperextensions, a technique first employed by Mauro Di Nasso.
Keywords
Cite
@article{arxiv.1812.08362,
title = {A nonstandard take on central sets},
author = {Isaac Goldbring},
journal= {arXiv preprint arXiv:1812.08362},
year = {2018}
}
Comments
28 pages. First draft. Comments very welcome!