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-2 | English |
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Pagina's (van-tot) | 265-287 |
Aantal pagina's | 23 |
Tijdschrift | Indagationes mathematicae-New series |
Volume | 30 |
Nummer van het tijdschrift | 2 |
DOI's | |
Status | Published - mrt.-2019 |