scientific article; zbMATH DE number 7820355

arXiv2301.05988MaRDI QIDQ6194262

Ruiyuan Chen

Publication date: 19 March 2024

Full work available at URL: https://arxiv.org/abs/2301.05988

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

dualitycontinuous latticecompletely distributive latticefree cocompletion

Mathematics Subject Classification ID

Complete distributivity (06D10) Continuous lattices and posets, applications (06B35) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Frames and locales, pointfree topology, Stone duality (18F70)

Cites Work

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• Stone duality above dimension zero: axiomatising the algebraic theory of \(\mathrm{C}(X)\)
• A uniform approach to inductive posets and inductive closure
• The category of Z-continuous posets
• The closure of a class of colimits
• The Pontryagin duality of compact O-dimensional semilattices and its applications
• A classification of accessible categories
• Generating the algebraic theory of $C(X)$: the case of partially ordered compact spaces
• Continuous Lattices and Domains
• The dual of compact ordered spaces is a variety

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