Borel Functors and Infinitary Interpretations
Borel Functors and Infinitary Interpretations is a scholarly work, published in 2018 in ''Journal of Symbolic Logic''. The main subjects of the publication include interpretation, pure mathematics, homomorphism, deformation quantization, computational complexity theory, weak equivalence, countably infinite set, discrete mathematics, combinatorics, mathematics, automorphism, model theory, and functor. The authors show that for the case of infinitary interpretation the reversals are also true: every Baire-measurable homomorphism between the automorphism groups of two countable structures is induced by an infinitary interpretation, and every Baire-measurable functor between the set of copies of two countable structures is induced by an infinitary interpretation.