Speaker: William Troiani
Title: "The internal logic and finite colimits"
Abstract: We describe how finite colimits can be described using the
internal language, also known as the Mitchell-Benabou language, of a
topos, provided the topos admits countably in finite colimits. This description
is based on the set theoretic definitions of colimits and coequalizers,
however the translation is not direct due to the di erences between
set theory and the internal language, these differences are described as
internal versus
external. Solutions to the hurdles which thus arise are
given.
Associated organization/project:
LoVe: Logic and Verification
presented by Morgan Rogers
Chair: Roberto Giuntini, Editorial Board LU