1. Department of Mathematics, University of Puerto Rico, Mayagüez Campus, P.O. Box 9018, Mayagüez, PR, 00681-9018, USA 2. Dipartimento di Matematica, Universitá di L'Aquila, 67100, L'Aquila, Italy
Abstract:
A notion of closure operator with respect to a functor U is introduced. This allows us to describe a number of mathematical constructions that could not be described by means of the already existing notion of closure operator. Some basic results and examples are provided.