Results 11 to 20 of about 27 (27)
Background – Oral and parenteral drug delivery in horses can be difficult. Equine‐specific transdermal drug formulations offer improved ease of treatment; development of such formulations requires a deeper understanding of the structural and chemical tissue barrier of horse skin. Hypothesis/Objectives – To compare the structural composition and barrier
Samuel C. Bizley +3 more
wiley +1 more source
On the extreme non‐Arens regularity of Banach algebras
Abstract As is well‐known, on an Arens regular Banach algebra all continuous functionals are weakly almost periodic. In this paper, we show that ℓ1‐bases which approximate upper and lower triangles of products of elements in the algebra produce large sets of functionals that are not weakly almost periodic.
Mahmoud Filali, Jorge Galindo
wiley +1 more source
We investigate p‐adic completions of clopen (i.e., closed and open at the same time) subgroups W of loop groups and diffeomorphism groups G of compact manifolds over non‐Archimedean fields. We outline two different compactifications of loop groups and one compactification of diffeomorphism groups, describe associated finite groups in projective limits,
S. V. Ludkovsky, B. Diarra
wiley +1 more source
Fuzzy neighborhood structures on partially ordered groups
Ahsanullah (1988) showed the compatibility between group structures and I‐fuzzy neighborhood systems. In this paper, we require not only that the I‐fuzzy neighborhood systems be compatible with the group structures, but also compatible with the order relation, in one sense or another.
Kamel El-Saady, M. Y. Bakier
wiley +1 more source
Convergent nets in abelian topological groups
A net in an abelian group is called a T‐net if there exists a Hausdorff group topology in which the net converges to 0. This paper describes a fundamental system for the finest group topology in which the net converges to 0. The paper uses this description to develop conditions which insure there exists a Hausdorff group topology in which a particular ...
Robert Ledet
wiley +1 more source
Extendibility, monodromy, and local triviality for topological groupoids
A groupoid is a small category in which each morphism has an inverse. A topological groupoid is a groupoid in which both sets of objects and morphisms have topologies such that all maps of groupoid structure are continuous. The notion of monodromy groupoid of a topological groupoid generalizes those of fundamental groupoid and universal cover.
Osman Mucuk, İlhan İçen
wiley +1 more source
TΩ‐sequences in abelian groups
A sequence in an abelian group is called a T‐sequence if there exists a Hausdorff group topology in which the sequence converges to zero. This paper describes the fundamental system for the finest group topology in which this sequence converges to zero.
Robert Ledet, Bradd Clark
wiley +1 more source
Algebraic obstructions to sequential convergence in Hausdorrf abelian groups
Given an abelian group G and a non‐trivial sequence in G, when will it be possible to construct a Hausdroff topology on G that allows the sequence to converge? As one might expect of such a naive question, the answer is far too complicated for a simple response.
Bradd Clark, Sharon Cates
wiley +1 more source
The meet of locally connected group topologies
The collection of all group topologies on a given group is a complete lattice partially ordered by inclusion. The purpose of this paper is to develop a convenient method of defining the meet of an arbitrary collection of group topologies and demonstrate that the meet of a collection of locally connected group topologies is also locally connected.
Dorene J. Fox
wiley +1 more source
On distal and equicontinuous compact right topological groups
W. Ruppert has studied, and given examples of, compact left topological groups for which the left translation flow (?G, G) is equicontinuous. Recently, we considered an analogous distal condition that applies to the groups of dynamical type; for these the topological centre is dense, so the translation flow is equicontinuous only in the trivial case ...
Paul Milnes
wiley +1 more source

