3 papers
math.CT2018
Sierpinski object for affine systems
Jeffrey T. Denniston, Austin Melton, Stephen E. Rodabaugh +1
Motivated by the concept of Sierpinski object for topological systems of S.~Vickers, presented recently by R.~Noor and A.~K.~Srivastava, this paper introduces the Sierpinski object…
math.CT2018
Topological systems as a framework for institutions
Jeffrey T. Denniston, Austin Melton, Stephen E. Rodabaugh +1
Recently, J.~T.~Denniston, A.~Melton, and S.~E.~Rodabaugh introduced a lattice-valued analogue of the concept of institution of J.~A.~Goguen and R.~M.~Burstall, comparing it, moreo…
math.CT2018
Categorical foundations of variety-based bornology
Jan Paseka, Sergey A. Solovyov
Following the concept of topological theory of S.~E.~Rodabaugh, this paper introduces a new approach to (lattice-valued) bornology, which is based in bornological theories, and whi…