Generalized continuous posets and a new Cartesian closed category
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Publication:842760
DOI10.1007/S10485-008-9132-9zbMATH Open1179.06004OpenAlexW2080158003MaRDI QIDQ842760
Jibo Li, Mengqiao Huang, Qing-Guo Li
Publication date: 25 September 2009
Published in: Applied Categorical Structures (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10485-008-9132-9
Continuous lattices and posets, applications (06B35) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)
Cites Work
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- The category of Z-continuous posets
- The Dedekind-MacNeille completion as a reflector
- Semicontinuous lattices
- \({\mathcal Z}\)-continuous posets and their topological manifestation
- \(Z\)-semicontinuous posets
- \({\mathbf Z}\)-continuous posets
- ORDER EXTENSIONS AS ADJOINT FUNCTORS
- Generalization of Continuous Posets
- Continuous Lattices and Domains
- \(Z\)-join spectra of \(Z\)-supercompactly generated lattices
Related Items (15)
On semicontinuous lattices and their distributive reflections ⋮ On \(\mathrm{SI}_2\)-continuous spaces ⋮ The duality theory of general \(\mathcal{Z}\)-continuous posets ⋮ \(s_2\)-quasialgebraic posets ⋮ On Cartesian closed extensions of non-pointed domains ⋮ \(s_{Z}\)-quasicontinuous posets and meet \(s_{Z}\)-continuous posets ⋮ Cartesian closed extensions of subcategories of CONT ⋮ On a new convergence in topological spaces ⋮ θ-continuity and Dθ-completion of posets ⋮ A completion-invariant extension of the concept of quasi C-continuous lattices ⋮ \(s_2\)-quasicontinuous posets. ⋮ A generalization of the Dedekind-MacNeille completion ⋮ The \(R\)-completion of closure spaces ⋮ A unified method for completions of posets and closure spaces ⋮ A STUDY ON THE CARTESIAN CLOSED CATEGORY POSM
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