4 papers · 1 filter
Minimal and intrinsic topologies on monoids of elementary embeddings
J. de la Nuez González, Zaniar Ghadernezhad, Paolo Marimon +1
To every -categorical structure one can associate two spaces of symmetries which determine the structure up to first-order bi-interpretability: the topological group $\mathr…
Taking model-complete cores
Manuel Bodirsky, Bertalan Bodor, Paolo Marimon
A first-order theory is a model-complete core theory if every first-order formula is equivalent modulo to an existential positive formula; a core companion of a theory …
A guide to topological reconstruction on endomorphism monoids and polymorphism clones
Paolo Marimon, Michael Pinsker
Various spaces of symmetries of a structure are naturally endowed with both an algebraic and a topological structure. For example, the automorphism group of a structure is, on top…
When invariance implies exchangeability (and applications to invariant Keisler measures)
Samuel Braunfeld, Colin Jahel, Paolo Marimon
We study the problem of when, given a countable homogeneous structure and a space of expansions of , every -invariant probability measure on is exch…