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Title: Strict monadic topology I: First separation axioms and reflections
Authors: Janelidze, George
Sobral, Manuela
Keywords: Monadic topology; Monad; Separation axiom; Galois structure
Issue Date: Mar-2020
Publisher: Elsevier
Project: CMUC-UID/MAT/00324/2019 
Serial title, monograph or event: Topology and its Applications
Volume: 273
Abstract: Given a monad T on the category of sets, we consider reflections of Alg(T) into its full subcategories formed by algebras satisfying natural counterparts of topological separation axioms T_0, T_1, T_2, T_ts, and T_ths; here ts stands for totally separated and ths for what we call totally homomorphically separated, which coincides with ts in the (compact Hausdorff) topological case. We ask whether these reflections satisfy simple conditions useful in categorical Galois theory, and give some partial answers in easy cases.
DOI: 10.1016/j.topol.2019.106963
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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