Results 11 to 20 of about 307 (168)

𝜅-metrizable spaces, stratifiable spaces and metrization [PDF]

Proceedings of the American Mathematical Society, 1989
It is shown that every κ \kappa -metrizable CW-complex is metrizable. Examples are given showing that a stratifiable κ \kappa -metrizable space and an additively κ \kappa -metrizable space need not be metrizable.
Suzuki, J., Tamano, K., Tanaka, Y.
openaire   +1 more source

Channel metrization

European Journal of Combinatorics, 2019
We present an algorithm that, given a channel, determines if there is a distance for it such that the maximum likelihood decoder coincides with the minimum distance decoder. We also show that any metric, up to a decoding equivalence, can be isometrically embedded into the hypercube with the Hamming metric, and thus, in terms of decoding, the Hamming ...
D'Oliveira, Rafael G. L., Firer, Marcelo
openaire   +2 more sources

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

A Metrization Theorem [PDF]

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

Non-Abelian Pseudocompact Groups

Axioms, 2016
Here are three recently-established theorems from the literature. (A) (2006) Every non-metrizable compact abelian group K has 2|K| -many proper dense pseudocompact subgroups.
W. W. Comfort, Dieter Remus
doaj   +1 more source

τ-metrizable spaces

Applied General Topology, 2018
In [1], A. A. Borubaev introduced the concept of τ-metric space, where τ is an arbitrary cardinal number. The class of τ-metric spaces as τ runs through the cardinal numbers contains all ordinary metric spaces (for τ = 1) and thus these spaces are a ...
A.C. Megaritis
doaj   +1 more source

Concerning nearly metrizable spaces

Applied General Topology, 2013
The purpose of this paper is to introduce the notion of near metrizability for topological spaces, which is strictly weaker than the concept of metrizability.
M. N. Mukherjee, Dhananjoy Mandal
doaj   +1 more source

Lipschitz groups and Lipschitz maps [PDF]

International Journal of Group Theory, 2017
‎‎This contribution mainly focuses on some aspects of Lipschitz groups‎, ‎i.e.‎, ‎metrizable groups with Lipschitz multiplication and inversion map‎. ‎In the main result it is proved that metric groups‎, ‎with a translation-invariant metric‎, ‎may be ...
Laurent Poinsot
doaj   +1 more source

A metrizable semitopological semilattice with non-closed partial order

Topological Algebra and its Applications, 2020
We construct a metrizable semitopological semilattice X whose partial order P = {(x, y) ∈ X × X : xy = x} is a non-closed dense subset of X × X. As a by-product we find necessary and sufficient conditions for the existence of a (metrizable) Hausdorff ...
Banakh Taras, Bardyla Serhii, Ravsky Alex   +2 more
doaj   +1 more source