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https://hdl.handle.net/10316/43927
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 | Serial title, monograph or event: | Categorical Methods in Algebra and Topology: Special Volume in Honour of Manuela Sobral | Volume: | 46 | 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. | URI: | https://hdl.handle.net/10316/43927 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Livros e Capítulos de Livros |
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volume46_Clementino_Tholen_(99_124).pdf | 1.18 MB | Adobe PDF | View/Open |
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