A maximal Boolean sublattice that is not the range of a Banaschewski function
Combinatorics
2017-01-26 v1 Rings and Algebras
Abstract
We construct a countable bounded sublattice of the lattice of all subspaces of a vector space with two non-isomorphic maximal Boolean sublattice. We represent one of them as the range of a Banschewski function and we prove that this is not the case of the other. Hereby we solve a problem of F. Wehrung.
Keywords
Cite
@article{arxiv.1701.07024,
title = {A maximal Boolean sublattice that is not the range of a Banaschewski function},
author = {Samuel Mokriš and Pavel Růžička},
journal= {arXiv preprint arXiv:1701.07024},
year = {2017}
}