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Strict monadic topology I: first separation axioms and reflections
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Type: Preprint
National /International: International
Title: Strict monadic topology I: first separation axioms and reflections
Publication Date: 2018-10-01
Authors: - George Janelidze
- Manuela Sobral
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 T0, T1, T2, Tts, and Tths; 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.
Institution: DMUC 18-41
Online version: http://www.mat.uc.pt...prints/eng_2018.html
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