Conditionally complete sponges: New results on generalized lattices
| العنوان: | Conditionally complete sponges: New results on generalized lattices |
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| المؤلفون: | Jasper J. van de Gronde, Wim H. Hesselink |
| المساهمون: | Scientific Visualization and Computer Graphics, Fundamental Computing Science |
| المصدر: | Indagationes mathematicae-New series, 30(2), 265-287. ELSEVIER SCIENCE BV |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Epigraph, biology, Mathematics::General Mathematics, Generalization, General Mathematics, 010102 general mathematics, Hilbert space, Mathematics::General Topology, Metric Geometry (math.MG), 010103 numerical & computational mathematics, Characterization (mathematics), biology.organism_classification, 01 natural sciences, Condensed Matter::Soft Condensed Matter, Combinatorics, Symmetric function, Metric space, symbols.namesake, Sponge, Mathematics - Metric Geometry, FOS: Mathematics, symbols, 0101 mathematics, Associative property, Mathematics |
| الوصف: | Sponges were recently proposed as a generalization of lattices, focussing on joins/meets of sets, while letting go of associativity/transitivity. In this work we provide tools for characterizing and constructing sponges on metric spaces and groups. These are then used in a characterization of epigraph sponges: a new class of sponges on Hilbert spaces whose sets of left/right bounds are formed by the epigraph of a rotationally symmetric function. We also show that the so-called hyperbolic sponge generalizes to more than two dimensions. 24 pages |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 0019-3577 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fa780f1ccadf9b30e2b2a0afdbbbee9 https://research.rug.nl/en/publications/6ced0ba6-16cf-4048-8bcc-20e8009433c5 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....6fa780f1ccadf9b30e2b2a0afdbbbee9 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 00193577 |
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