2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/128682In this work we discuss the construction of "simplicial BF theory", the field theory with finite-dimensional space of fields, associated to a triangulated manifold, that is in a sense equivalent to topological BF theory on the manifold (with infinite-dimensional space of fields). This is done in framework of simplicial program - program of constructing discrete topological field theories. We also discuss the relation of these constructions to homotopy algebra.High Energy Physics - TheoryAlgebraic TopologyQuantum Algebratext