Displaying similar documents to “Minimal ball-coverings in Banach spaces and their application”

Some topological properties of ω -covering sets

Andrzej Nowik (2000)

Czechoslovak Mathematical Journal

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We prove the following theorems: There exists an ω -covering with the property s 0 . Under c o v ( 𝒩 ) = there exists X such that ∀ B ∈ ℬ o r [ B ∩ X is not an ω -covering or X ∖ B is not an ω -covering]. Also we characterize the property of being an ω -covering.

A new lower bound for the football pool problem for 7 matches

Laurent Habsieger (1996)

Journal de théorie des nombres de Bordeaux

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Let K 3 ( 7 , 1 ) denote the minimum cardinality of a ternary code of length 7 and covering radius one. In a previous paper, we improved on the lower bound K 3 ( 7 , 1 ) ≥ 147 by showing that K 3 ( 7 , 1 ) ≥ 150 . In this note, we prove that K 3 ( 7 , 1 ) ≥ 153 .

Ultra regular covering space and its automorphism group

Sang-Eon Han (2010)

International Journal of Applied Mathematics and Computer Science

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In order to classify digital spaces in terms of digital-homotopic theoretical tools, a recent paper by Han (2006b) (see also the works of Boxer and Karaca (2008) as well as Han (2007b)) established the notion of regular covering space from the viewpoint of digital covering theory and studied an automorphism group (or Deck's discrete transformation group) of a digital covering. By using these tools, we can calculate digital fundamental groups of some digital spaces and classify digital...

Quandle coverings and their Galois correspondence

Michael Eisermann (2014)

Fundamenta Mathematicae

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This article establishes the algebraic covering theory of quandles. For every connected quandle Q with base point q ∈ Q, we explicitly construct a universal covering p: (Q̃,q̃̃) → (Q,q). This in turn leads us to define the algebraic fundamental group π ₁ ( Q , q ) : = A u t ( p ) = g ∈ A d j ( Q ) ' | q g = q , where Adj(Q) is the adjoint group of Q. We then establish the Galois correspondence between connected coverings of (Q,q) and subgroups of π₁(Q,q). Quandle coverings are thus formally analogous to coverings of topological spaces, and resemble...