Isotone extensions and complete lattices

DOI10.1007/s10958-020-04769-2zbMath1484.06006arXiv1306.1209OpenAlexW3013292466MaRDI QIDQ2202645

Aleksey A. Dovgoshey

Publication date: 29 September 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.1209

zbMATH Keywords

complete latticeisotone mappinggeneralized latticelinearly ordered setuniversal poset

Mathematics Subject Classification ID

Partial orders, general (06A06) Complete lattices, completions (06B23)

Related Items (2)

\(p\)-adic metric preserving functions and their analogues ⋮ Ultrametric preserving functions and weak similarities of ultrametric spaces

Cites Work

• Remarks on ultrametrics and metric-preserving functions
• Isotone maps on lattices
• Ordered sets
• Categorial characterization of the MacNeille completion
• Isotone mapping of free lattices
• Some examples of universal and generic partial orders
• On a classification of denumerable order types and an application to the partition calculus
• Set Theory
• Extension of order-preserving maps on a cone
• Compactification of closed preordered spaces
• On ultrametric-preserving functions
• Metric products and continuation of isotone functions
• Über universalgeordnete Mengen
• Free Lattices with Infinite Operations
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