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pro vyhledávání: '"Ball, Richard N."'
Autor:
Ball, Richard N.
(Completely regular) locales generalize (Tychonoff) spaces; indeed, the passage from a locale to its spatial sublocale is a well understood coreflection. But a locale also possesses an equally important pointless sublocale, and with morphisms suitabl
Externí odkaz:
http://arxiv.org/abs/2305.00096
Publikováno v:
In Topology and its Applications 1 February 2024 342
Autor:
Ball, Richard N.
The truncation operation facilitates the articulation and analysis of several aspects of the structure of archimedean vector lattices; we investigate two such aspects in this article. We refer to archimedean vector lattices equipped with a truncation
Externí odkaz:
http://arxiv.org/abs/1906.00439
Autor:
Ball, Richard N.
Publikováno v:
QM - Quaestiones Mathematicae; Oct2024, Vol. 47 Issue 10, p2023-2033, 11p
Akademický článek
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Publikováno v:
Combinatorica 27 (2007), no. 4, 407-427
A colored graph is a complete graph in which a color has been assigned to each edge, and a colorful cycle is a cycle in which each edge has a different color. We first show that a colored graph lacks colorful cycles iff it is Gallai, i.e., lacks colo
Externí odkaz:
http://arxiv.org/abs/1509.05621
We generalize the concept of the pointwise supremum of real-valued functions to the pointfree setting. The concept itself admits a direct and intuitive formulation which makes no mention of points. But our aim here is to investigate pointwise suprema
Externí odkaz:
http://arxiv.org/abs/1411.3362
Autor:
Ball, Richard N.
This is the second of three articles on the topic of truncation as an operation on divisible abelian lattice-ordered groups, or simply $\ell$-groups. This article uses the notation and terminology of the first article and assumes its results. In part
Externí odkaz:
http://arxiv.org/abs/1406.7454
We use a landmark result in the theory of Riesz spaces - Freudenthal's 1936 Spectral Theorem - to canonically represent any Archimedean lattice-ordered group $G$ with a strong unit as a (non-separating) lattice-group of real valued continuous functio
Externí odkaz:
http://arxiv.org/abs/1406.3152
Autor:
Ball, Richard N., Marra, Vincenzo
Publikováno v:
Topology and its Applications Volume 170, 15 June 2014, Pages 10-24
We prove that the category of unital hyperarchimedean vector lattices is equivalent to the category of Boolean algebras. The key result needed to establish the equivalence is that, via the Yosida representation, such a vector lattice is naturally iso
Externí odkaz:
http://arxiv.org/abs/1310.2175