Conditionally complete sponges: New results on generalized lattices

Jasper Gronde ,van de*, W H Hesselink

*Corresponding author voor dit werk

OnderzoeksoutputAcademicpeer review

1 Citaat (Scopus)
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Samenvatting

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. Finally, the so-called hyperbolic sponge is generalized to more than two dimensions.
Originele taal-2English
Pagina's (van-tot)265-287
Aantal pagina's23
TijdschriftIndagationes mathematicae-New series
Volume30
Nummer van het tijdschrift2
DOI's
StatusPublished - mrt.-2019

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