Results 11 to 20 of about 1,874 (227)

so-metrizable spaces and images of metric spaces

open access: yesOpen Mathematics, 2021
so-metrizable spaces are a class of important generalized metric spaces between metric spaces and snsn-metrizable spaces where a space is called an so-metrizable space if it has a σ\sigma -locally finite so-network.
Yang Songlin, Ge Xun
doaj   +1 more source

Ascoli-Type Theorem for Baire 1 Functions

open access: yesMathematics, 2023
Let X, Y be metric spaces and B1(X,Y) be the space of Baire 1 functions from X to Y. The main purpose of this paper is to study compact subsets of B1(X,Y) equipped with the topology τUC of uniform convergence on compacta and prove Ascoli-type theorem for
Ľubica Holá
doaj   +1 more source

Continuous utility functions on submetrizable hemicompact k-spaces

open access: yesApplied General Topology, 2009
Some theorems concerning the existence of continuous utility functions for closed preorders on submetrizable hemicompact k-spaces are proved. These spaces are precisely the inductive limits of increasing sequences of metric compact subspaces and in ...
Alessandro Caterino   +2 more
doaj   +1 more source

Local isometries of compact metric spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1982
By local isometries we mean mappings which locally preserve distances. A few of the main results are: 1. For each local isometry f f
openaire   +1 more source

Multiple Periodic Solutions and Fractal Attractors of Differential Equations with n-Valued Impulses

open access: yesMathematics, 2020
Ordinary differential equations with n-valued impulses are examined via the associated Poincaré translation operators from three perspectives: (i) the lower estimate of the number of periodic solutions on the compact subsets of Euclidean spaces and, in ...
Jan Andres
doaj   +1 more source

On π-Images of Locally Separable Metric Spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2008
We characterize π-images of locally separable metric spaces by means of covers having π-property. As its application, we obtain characterizations of compact-covering (sequence-covering, pseudo-sequence-covering, and sequentially quotient) π-images of ...
Tran Van An, Nguyen Van Dung
doaj   +1 more source

Locally Compact Homogeneous Spaces with Inner Metric [PDF]

open access: yesJournal of Generalized Lie Theory and Applications, 2015
12 ...
openaire   +3 more sources

The Space of Functions with Tempered Increments on a Locally Compact and Countable at Infinity Metric Space [PDF]

open access: yesAxioms, 2021
The aim of the paper is to introduce the Banach space consisting of real functions defined on a locally compact and countable at infinity metric space and having increments tempered by a modulus of continuity. We are going to provide a condition that is sufficient for the relative compactness in the Banach space in question.
Józef Banas, Rafal Nalepa
openaire   +2 more sources

Closed mappings of 𝜎-locally compact metric spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
We show that a metric space M M is
openaire   +1 more source

On the uniform exponential stability of linear skew-product semiflows

open access: yesJournal of Function Spaces and Applications, 2006
The problem of uniform exponential stability of linear skew-product semiflows on locally compact metric space with Banach fibers, is discussed. It is established a connection between the uniform exponential stability of linear skewproduct semiflows and ...
Ciprian Preda
doaj   +1 more source

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