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Title: From lax monad extensions to Topological theories
Authors: Clementino, Maria Manuel 
Tholen, Walter 
Issue Date: 2014
Publisher: DMUC - Textos de Matemática
Project: info:eu-repo/grantAgreement/FCT/COMPETE/132981/PT 
Abstract: We investigate those lax extensions of a Set-monad T = (T,m, e) to the category V-Rel of sets and V-valued relations for a quantale V = (V,⊗, k) that are fully determined by ξ maps : TV ⟶ V. We pay special attention to those maps ξ that make V a T-algebra and, in fact, (V,⊗, k) a monoid in the category Set^T with its cartesian structure. Any such map ξ forms the main ingredient to Hofmann’s notion of topological theory.
Rights: openAccess
Appears in Collections:I&D CMUC - Livros e Capítulos de Livros

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