Results 11 to 20 of about 2,673 (127)
Projective Metrizability and Formal Integrability [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented curves.
Ioan Bucataru, Zoltán Muzsnay
doaj +7 more sources
On Radon Barycenters of Measures on Spaces of Measures
Известия Иркутского государственного университета: Серия "Математика", 2023 We study metrizability of compact sets in spaces of Radon measures with the weak topology. It is shown that if all compacta in a given completely regular topological space are metrizable, then every uniformly tight compact set in the space of Radon ...
V.I. Bogachev, S.N. Popova
doaj +1 more source
Metrizable and $\mathbb {R}$-metrizable betweenness spaces [PDF]
Proceedings of the American Mathematical Society, 1999 If \(d\) is a metric on a nonempty set \(A\) taking values in an ordered field then \((A,T_d)\), with \(T_d(x,y,z):\leftrightarrow d(x,y)+d(y,z)=d(x,z)\), will be called a metrizable betweenness space (MBS). If \(d\) takes values in \({\mathbb R}\), then \((A,T_d)\) is called an \({\mathbb R}\)-MBS.
openaire +1 more source
Some Metrization Theorems [PDF]
Proceedings of the American Mathematical Society, 1976 We prove, using H. W. Martin’s result on metrizable symmetric spaces and a symmetric of P. W. Harley III’s construction, a theorem which is slightly stronger than a recent theorem of Nagata.
openaire +2 more sources
The Alexandroff Duplicate and its subspaces
Applied General Topology, 2007 We study some topological properties of the class of the Alexandroff duplicates and their subspaces. We give a characterization of metrizability and Lindel¨of properties of subspaces of the Alexandroff duplicate.
Agata Caserta, Stephen Watson
doaj +1 more source
Proceedings of the American Mathematical Society, 1966 A. characterization of metrizable topological spaces in terms of subtopologies is given. First, several terms are defined in order to describe the pertinent subtopologies. Then, the characterization is readily established as a result of a metrization theorem due to Bing [l ] and a metrization theorem due to Ceder [2]. Definition 1.
openaire +2 more sources
Quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces
International Journal of Mathematics and Mathematical Sciences, 2001 We determine conditions for quasi-pseudometrizability of the point open ordered spaces and the compact open ordered spaces. This generalizes the results on metrizability of the point open topology and the compact open topology for function spaces.
Koena Rufus Nailana
doaj +1 more source
Partial metrizability in value quantales
Applied General Topology, 2004 Partial metrics are metrics except that the distance from a point to itself need not be 0. These are useful in modelling partially defined information, which often appears in computer science.
Ralph D. Kopperman +2 more
doaj +1 more source
S-Metrizability and the Wallman basis of a frame [PDF]
Categories and General Algebraic Structures with ApplicationsThe Wallman basis of a frame and the corresponding induced compactification was first investigated by Baboolal [2]. In this paper, we provide an intrinsic characterisation of S-metrizability in terms of the Wallman basis of a frame. Particularly, we show
Cerene Rathilal
doaj +1 more source
Finsler functions for two-dimensional sprays [PDF]
, 2014 I derive the general formula for a local Finsler function for any spray over a two-dimensional manifold specified by its geodesic curvature function relative to a given background Riemannian ...
Crampin, Michael
core +2 more sources