The Fell Compactification of a Poset

DOI10.1007/978-3-030-45619-1_3zbMath1460.54006OpenAlexW3037648048MaRDI QIDQ5126369

Guram Bezhanishvili, John Harding

Publication date: 16 October 2020

Published in: Statistical and Fuzzy Approaches to Data Processing, with Applications to Econometrics and Other Areas (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-45619-1_3

zbMATH Keywords

posetdistributive latticePriestley spaceFell compactificationorder-compactificationfree latticehit-or-miss topologystable compactification

Mathematics Subject Classification ID

Hyperspaces in general topology (54B20) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Stone spaces (Boolean spaces) and related structures (06E15) Local compactness, (sigma)-compactness (54D45) Free lattices, projective lattices, word problems (06B25)

Cites Work

• Order-compactifications of totally ordered spaces: Revisited
• Priestley rings and Priestley order-compactifications
• A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-Hausdorff Space
• Stable Compactification I
• Continuous Lattices and Domains
• Free Objects and Free Extensions in the Category of Frames
• Prime Ideal Structure in Commutative Rings
• Representation of Distributive Lattices by means of ordered Stone Spaces
• Lattices With Unique Complements
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