3 papers
math.LO2026
The Construction Principle and superstability of free objects in varieties of algebras
Tapani Hyttinen, Gianluca Paolini, Davide Emilio Quadrellaro
We investigate the relationship between the Eklof-Mekler-Shelah Construction Principle for a variety of algebras and the question of superstability of the free objects…
math.LO2025
Borel completeness of Tits buildings with no rank 3 residues of spherical type
Gianluca Paolini, Davide Emilio Quadrellaro
We prove that, for every Coxeter diagram with no rank residues of spherical type and such that has not only edges labelled by , the space of countable (Tits) buildin…
math.LO2025
A New Construction Principle
Tapani Hyttinen, Gianluca Paolini, Davide Emilio Quadrellaro
We use the framework of Abstract Elementary Classes (s) to introduce a new Construction Principle , which generalises the Construction P…