boolean algebras 1coherent separations 1freese-nation property 1projective algebras 1weakly projective algebras 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.LO2026
Characterising projective and weakly projective Boolean algebras by coherent Freese--Nation separations
Tomasz Kania, Andrzej Kucharski, SÅawomir Turek
The authors define a coherent finite‑separation strengthening of the Freese–Nation property and prove that a Boolean algebra is projective precisely when it has a meet‑closed decom…
math.GN2026
Homogeneity of profinite graphs
WiesÅaw KubiÅ, Wiesław Kubiś, Andrzej Kucharski +2
Profinite graphs are inverse limits of sequences of nonempty finite graphs. There exists a ``generic'' graph $\Pe$ in this category, although its edge relation is rather poor: only…
math.GN2024
On generic topological embeddings
WiesÅaw KubiÅ, Andrzej Kucharski, SÅawomir Turek
We show that an embedding of a fixed 0-dimensional compact space into the Äech--Stone remainder as a nowhere dense P-set is the unique generic limit, a special object i…