English

Free uniformly complete vector lattices

Functional Analysis 2025-06-17 v5

Abstract

We define a free uniformly complete vector lattice over a set of generators and give its concrete representation as a space of continuous positively homogeneous functions.

Keywords

Cite

@article{arxiv.2109.03895,
  title  = {Free uniformly complete vector lattices},
  author = {Eduard Emelyanov and Svetlana Gorokhova},
  journal= {arXiv preprint arXiv:2109.03895},
  year   = {2025}
}

Comments

Several typoes that occured in the already published journal version of the preprint are fixed

R2 v1 2026-06-24T05:48:16.363Z