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FINITE ELEMENTS IN ORDERED BANACH SPACES WITH POSITIVE BASES
We characterize finite elements, an order-theoretic concept in Archimedean vector lattices, in the setting of ordered Banach spaces with positive...
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Totally Ordered Conditional Independence Models
A subclass of lattice conditional independence models is introduced. The new class of models is called totally ordered independence models. The class...
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The number of labeled n-ary abelian groups and totally symmetric medial quasigroups
We demonstrate that there are an equal number of the four following labeled (i.e., not up to isomorphism) structures over any finite set: abelian...
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Representations of Totally Disconnected Groups
In this chapter, our goal is to develop enough of the representation theory of locally compact totally disconnected groups (or td-groups for short)...
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Duals of Cesàro sequence vector lattices, Cesàro sums of Banach lattices, and their finite elements
In this paper, we study the ideals of finite elements in special vector lattices of real sequences, first in the duals of Cesàro sequence spaces
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Totally positive kernels, Pólya frequency functions, and their transforms
The composition operators preserving total non-negativity and total positivity for various classes of kernels are classified, following three themes....
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Order two superconvergence of the CDG finite elements for non-self adjoint and indefinite elliptic equations
A conforming discontinuous Galerkin (CDG) finite element method is designed for solving second order non-self adjoint and indefinite elliptic...
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Multidimensional Multiplicative Large Sets in Totally Minimal Systems
In this paper, it is shown that for a residual set of points in a totally minimal system with finitely many commuting homeomorphisms, the set of...
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Right-angled Coxeter groups with totally disconnected Morse boundaries
This paper introduces a new class of right-angled Coxeter groups with totally disconnected Morse boundaries. We construct this class recursively by...
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Product structure and regularity theorem for totally nonnegative flag varieties
The totally nonnegative flag variety was introduced by Lusztig. It has enriched combinatorial, geometric, and Lie-theoretic structures. In this...
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Local Geometry of the Gromov–Hausdorff Metric Space and Totally Asymmetric Finite Metric Spaces
In the present paper, we investigate the structure of the metric space M of compact metric spaces considered up to an isometry and endowed with the...
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Totally disconnected locally compact groups with just infinite locally normal subgroups
We obtain some global features of totally disconnected locally compact (t.d.l.c.) groups G that are locally isomorphic to a just infinite profinite...
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Geometric amenability in totally disconnected locally compact groups
We give a short geometric proof of a result of Soardi and Woess and Salvatori that a quasitransitive graph is amenable if and only if its...
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The Gauss Images of Complete Minimal Surfaces of Genus Zero of Finite Total Curvature
This paper aims to present a systematic study on the Gauss images of complete minimal surfaces of genus 0 of finite total curvature in Euclidean...
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Rank-one transformations, odometers, and finite factors
In this paper we give explicit characterizations, based on the cutting and spacer parameters, of (a) which rank-one transformations factor onto a...
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Holomorphic Retractions of Bounded Symmetric Domains onto Totally Geodesic Complex Submanifolds
Given a bounded symmetric domain Ω the author considers the geometry of its totally geodesic complex submanifolds S ⊂ Ω. In terms of the...
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Totally Aspherical Parameters for Cherednik Algebras
We introduce the notion of a totally aspherical parameter for a rational Cherednik algebra. We get an explicit construction of the projective object...
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On the Existence of Greatest Elements and Maximizers
We obtain several characterizations of the existence of greatest elements of a total preorder. The characterizations pertain to the existence of...