2 citations · 4 across the 22 of their papers we have counts for
4 papers · 1 filter
Approximate homomorphisms on orthomodular lattices
Tomasz Kania
The stability programme initiated by Ulam asks when approximate solutions to algebraic identities must lie near exact ones. For lattices, this leads to the question of when a map t…
Characterising projective and weakly projective Boolean algebras by coherent Freese--Nation separations
Tomasz Kania, Andrzej Kucharski, Sławomir Turek
We isolate a coherent finite-separation strengthening of the Freese--Nation property and use it to characterise projective and weakly projective Boolean algebras. A Boolean algebra…
Canonical reconstruction and forcing absoluteness of standard structures
Tomasz Kania
We isolate a simple preservation principle governing when it is absolute, between transitive models of set theory, that a given algebraic or topological-algebraic structure has a s…
Polish spaces for countable and separable structures through quotient encodings
Tomasz Kania
We develop a quotient-based framework for locating natural properties of countable algebraic structures and separable Banach-type structures in the Borel hierarchy. The common idea…