Kleisli dualities and Vietoris coalgebras

In this thesis we aim for a systematic way of extending Stone-Halmos duality theorems to categories including all compact Hausdorff spaces. To achieve this goal, we combine duality theory and quantale-enriched category theory. Our main idea is that, when passing from the two-element discrete space t...

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Bibliographic Details
Main Author: Nora, Pedro Miguel Teixeira Olhero Pessoa (author)
Format: doctoralThesis
Language:eng
Published: 2020
Subjects:
Dual equivalence
Duality
Kleisli category
Monad
Adjunction
Enriched category
Quantale
Topology
Stably compact
Compat Hausdorff
Spectral space
Boolean space
Stone space
Metric
Order
Partially ordered compact
Priestley space
Distributive lattice
Boolean algebra
Vietoris coalgebra
Kripke polynomial functor
Vietoris polynomial functor
Limit
Codirected limit
Online Access:http://hdl.handle.net/10773/29882
Country:Portugal
Oai:oai:ria.ua.pt:10773/29882

Internet

http://hdl.handle.net/10773/29882

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