English

Games with finitely generated structures

Logic 2021-08-25 v5

Abstract

We study the abstract Banach-Mazur game played with finitely generated structures instead of open sets. We characterize the existence of winning strategies aiming at a single countably generated structure. We also introduce the concept of weak Fraisse classes, extending the classical Fraisse theory and revealing its relations to our Banach-Mazur game.

Keywords

Cite

@article{arxiv.1701.05756,
  title  = {Games with finitely generated structures},
  author = {Adam Krawczyk and Wiesław Kubiś},
  journal= {arXiv preprint arXiv:1701.05756},
  year   = {2021}
}

Comments

Last section extended (16 pages)

R2 v1 2026-06-22T17:55:06.183Z