The paper proposes the notions of topological platform and quantalic topological theory for the presentation and investigation of categories of interest beyond the realm of algebra. These notions are nevertheless grounded in algebra, through the notions of monad and distributive law. The paper shows how they entail previously proposed concepts with similar goals.
Partial financial assistance by the Natural Sciences and Engineering Research Council of Canada (Discovery Grant 501260) is gratefully acknowledged
"Quantalic topological theories." Tbilisi Math. J. 10 (3) 223 - 237, June 2017. https://doi.org/10.1515/tmj-2017-0110