Results 91 to 100 of about 216 (129)

On weakly bisequential spaces [PDF]

open access: yes, 2000
summary:Weakly bisequential spaces were introduced by A.V. Arhangel'skii [1], in this paper. We discuss the relations between weakly bisequential spaces and metric spaces, countably bisequential spaces, Fréchet-Urysohn ...
Liu, Chuan
core  

Advanced Manifold–Metric Pairs

open access: yes
This article presents a novel mathematical formalism for advanced manifold–metric pairs, enhancing the frameworks of geometry and topology. We construct various D-dimensional manifolds and their associated metric spaces using functional methods ...
Pierros Ntelis
core   +1 more source

Ramifications of generalized Feller theory. [PDF]

open access: yesJ Evol Equ
Cuchiero C, Möllmann T, Teichmann J.
europepmc   +1 more source

Metrization of Gromov-Hausdorff-type topologies on boundedly-compact metric spaces

open access: yes
66 pages. We update the framework by introducing GH-type topologies where embeddings need not fix the roots. We clarify when root-preserving GH-type topologies coincide with the classical ones, and further study functor composition, extending the range of examples to encompass a wider class of additional ...
openaire   +2 more sources

Complete partial metric spaces have partially metrizable computational models-CMMSE2010

open access: yes, 2011
We show that the domain of formal balls of a complete partial metric space (X,p) can be endowed with a complete partial metric that extends p and induces the Scott topology. This result, that generalizes well-known constructions of Edalat and Heckmann (Theoret. Comput. Sci. 1998) and Heckmann (Appl. Cat. Struct.
Valero, Oscar   +2 more
openaire   +1 more source

Weak topologies and metrizability

open access: yes, 2004
Much of analysis is based on metric spaces, but there are also very important topological spaces that are not metrizable -- that is, there is no metric that generates the same topology.
Lauser, Benjamin John, Srinivasan, Ravi
core  

Quasi-metrization and completion for Pervin's quasi-uniformity

open access: yes, 1982
R. Stoltenberg characterized in [2] those quasi-uniformities which are quasi-pseudometrizable, as well as those quasi-metric spaces which have a quasi-metric completion.
Ferrer Llopis, Jesús   +1 more
core  

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