Results 1 to 10 of about 1,874 (227)
Quantum locally compact metric spaces
Journal of Functional Analysis, 2013 We introduce the notion of a quantum locally compact metric space, which is the noncommutative analogue of a locally compact metric space, and generalize to the nonunital setting the notion of quantum metric spaces introduced by Rieffel. We then provide several examples of such structures, including the Moyal plane, as well as compact quantum metric ...
Frédéric Latrémolière
exaly +3 more sources
Lipschitz free spaces over locally compact metric spaces [PDF]
Studia Mathematica, 2021 We prove that the Lipschitz free space over a certain type of discrete metric space has the Radon-Nikodým property. We also show that the Lipschitz free space over a complete, locally compact metric space has the Schur or approximation property whenever the Lipschitz free space over each compact subset also has this property.
exaly +3 more sources
A constructive and functorial embedding of locally compact metric spaces into locales
Topology and Its Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Erik Palmgren
exaly +2 more sources
Hyperspaces of direct limits of locally compact metric spaces
Topology and Its Applications, 1988 It is proved that if \(X_ 1\subset X_ 2\subset..\). is a tower of metric spaces then the identity bijction \(2^{dir \lim X_ n}\to dir \lim 2^{X_ n}\), where \(2^ X\) stands for the hyperspace of non-empty compact subsets of X and dir lim for direct limit, is a homeomorphism if the spaces are locally compact.
Curtis, D.W., Patching, D.S.
exaly +3 more sources
Sigma-compact, nowhere locally compact metric spaces can be densely imbedded in Hilbert space
Topology and Its Applications, 1983 AbstractIt is shown that if H is a connected, locally contractible, separable, topologically complete metric space with the property that mappings of separable metric spaces into H are approximable by imbeddings (in particular, if H is Hilbert space), then every sigma-compact, nowhere locally compact metric space can be densely imbedded in H.
exaly +2 more sources
Localic completion of uniform spaces [PDF]
Logical Methods in Computer Science, 2017 We extend the notion of localic completion of generalised metric spaces by Steven Vickers to the setting of generalised uniform spaces. A generalised uniform space (gus) is a set X equipped with a family of generalised metrics on X, where a generalised ...
Tatsuji Kawai
doaj +1 more source
Conformal Transformation of Uniform Domains Under Weights That Depend on Distance to The Boundary
Analysis and Geometry in Metric Spaces, 2022 The sphericalization procedure converts a Euclidean space into a compact sphere. In this note we propose a variant of this procedure for locally compact, rectifiably path-connected, non-complete, unbounded metric spaces by using conformal deformations ...
Gibara Ryan, Shanmugalingam Nageswari
doaj +1 more source
On planarity of compact, locally connected, metric spaces [PDF]
Combinatorica, 2011 \textit{S. Claytor} [``Topological immersion of peanian continua in a spherical surface,'' Ann.\ Math. (2) 35, 809--835 (1934; Zbl 0010.27602)] and \textit{C. Thomassen} [``The locally connected compact metric spaces embeddable in the plane,'' Combinatorica 24, No.
R. Bruce Richter +2 more
openaire +1 more source
On the Space of Locally Sobolev-Slobodeckij Functions
Journal of Function Spaces, 2022 The study of certain differential operators between Sobolev spaces of sections of vector bundles on compact manifolds equipped with rough metric is closely related to the study of locally Sobolev functions on domains in the Euclidean space. In this paper,
A. Behzadan, M. Holst
doaj +1 more source
On AP–Henstock–Kurzweil Integrals and Non-Atomic Radon Measure
Mathematics, 2023 The AP–Henstock–Kurzweil-type integral is defined on X, where X is a complete measure metric space. We present some properties of the integral, continuing the study’s use of a Radon measure μ.
Hemanta Kalita +2 more
doaj +1 more source