Results 71 to 80 of about 1,185 (166)

Toric amplitudes and universal adjoints

Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract A toric amplitude is a rational function associated with a simplicial polyhedral fan. The definition is inspired by scattering amplitudes in particle physics. We prove algebraic properties of such amplitudes and study the geometry of their zero loci. These hypersurfaces play the role of Warren's adjoint via a dual volume interpretation.
Simon Telen
wiley   +1 more source

A Choquet theory of Lipschitz‐free spaces

Proceedings of the London Mathematical Society, Volume 132, Issue 2, February 2026.
Abstract Let (M,d)$(M,d)$ be a complete metric space and let F(M)$\mathcal {F}({M})$ denote the Lipschitz‐free space over M$M$. We develop a ‘Choquet theory of Lipschitz‐free spaces’ that draws from the classical Choquet theory and the De Leeuw representation of elements of F(M)$\mathcal {F}({M})$ (and its bi‐dual) by positive Radon measures on βM ...
Richard J. Smith
wiley   +1 more source

A Note on Rational Approximation with Respect to Metrizable Compactifications of the Plane

Extracta Mathematicae, 2016
In the present note we examine possible extensions of Runge, Mergelyan and Arakelian Theorems, when the uniform approximation is meant with respect to the metric ρ of a metrizable compactification (S, ρ) of the complex plane C.
M. Fragoulopoulou, V. Nestoridis
doaj  

A new ordered compactification

International Journal of Mathematics and Mathematical Sciences, 1993
A new Wallman-type ordered compactification γ∘X is constructed using maximal CZ-filters (which have filter bases obtained from increasing and decreasing zero sets) as the underlying set.
D. C. Kent, T. A. Richmond
doaj   +1 more source

AN EAST ASIAN MATHEMATICAL CONCEPTUALIZATION OF THE TRANSHUMAN

Zygon, 2016
This study explores the transhuman from an East Asian perspective. In terms of cognitive science, mathematics, and theology, we define the transhuman system as characterized by (1) transcendence, (2) extension by compactification, and (3) samtaegeuk ...
doaj   +2 more sources

Quasiminimal distal function space and its semigroup compactification

International Journal of Mathematics and Mathematical Sciences, 1995
Quasiminimal distal function on a semitopological semigroup is introduced. The concept of right topological semigroup compactification is employed to study the algebra of quasiminimal distal functions.
R. D. Pandian
doaj   +1 more source

Stone compactification of additive generalized-algebraic lattices

Applied General Topology, 2007
In this paper, the notions of regular, completely regular, compact additive generalized algebraic lattices are introduced, and Stone compactification is constructed. The following theorem is also obtained.
Xueyou Chen, Quingguo Li, Zike Deng
doaj   +1 more source

Convergence S-compactifications

Applied General Topology, 2014
[EN] Properties of continuous actions on convergence spaces are investigated. The primary focus is the characterization as to when a continuous action on a convergence space can be continuously extended to an action on a compactification of the convergence space. The largest and smallest such compactifications are studied.
Losert, Bernd, Richardson, Gary
openaire   +5 more sources

Structural stability of polynomial second order differential equations with periodic coefficients

Electronic Journal of Differential Equations, 2004
This work characterizes the structurally stable second order differential equations of the form $x''= sum_{i=0}^{n}a_{i}(x)(x')^{i}$ where $a_{i}:Re o Re$ are $C^r$ periodic functions.
Adolfo W. Guzman
doaj  

On relatively connected sublocales and J-frames [PDF]

Categories and General Algebraic Structures with Applications
In this paper, we present a study of relatively connected sublocales. Connected sublocales are relatively connected, not conversely. We study conditions under which relatively connected sublocales are connected.
Simo Mthethwa, Siyabonga Dubazana
doaj   +1 more source