Results 1 to 10 of about 186 (57)

On monoids of metric preserving functions [PDF]

Frontiers in Applied Mathematics and Statistics
Let X be a class of metric spaces and let PX be the set of all f : [0, ∞) → [0, ∞) preserving X, i.e., (Y, f ∘ ρ) ∈ X whenever (Y, ρ) ∈ X. For arbitrary subset A of the set of all metric preserving functions, we show that the equality PX = A has a ...
Viktoriia Bilet, Oleksiy Dovgoshey, Oleksiy Dovgoshey   +2 more
doaj   +2 more sources

Equivalents of maximum principles for several spaces

Topological Algebra and its Applications, 2022
According to our long-standing Metatheorem, certain maximum theorems can be equivalently reformulated to various types of fixed point theorems, and conversely.
Park Sehie
doaj   +1 more source

On soft quasi-pseudometric spaces

, 2021
In this article, we introduce the concept of a soft quasi-pseudometric space. We show that every soft quasi-pseudometric induces a compatible quasi-pseudometric on the collection of all soft points of the absolute soft set whenever the parameter set is ...
Hope Sabao, O. O. Otafudu
semanticscholar   +1 more source

Density and Extension of Differentiable Functions on Metric Measure Spaces

Analysis and Geometry in Metric Spaces, 2021
We consider vector valued mappings defined on metric measure spaces with a measurable differentiable structure and study both approximations by nicer mappings and regular extensions of the given mappings when defined on closed subsets.
García Rafael Espínola, González Luis Sánchez   +1 more
doaj   +1 more source

On Is-Open Sets in Ideal Topological Semigroups

, 2021
In this paper, we introduce and investigate a new class of semi∗ − I−open sets, called I−open sets in ideal topological semigroups. This class is consider strong form of β∗ I−open sets and weak form of of semi∗ − I−open sets and β − I−open sets.
Amin Saif, Abdo Q.M. Alrefai
semanticscholar   +1 more source

Separation functions and mild topologies

Analysis and Geometry in Metric Spaces, 2023
Given MM and NN Hausdorff topological spaces, we study topologies on the space C0(M;N){C}^{0}\left(M;\hspace{0.33em}N) of continuous maps f:M→Nf:M\to N. We review two classical topologies, the “strong” and the “weak” topology. We propose a definition of “
Mennucci Andrea C. G.
doaj   +1 more source

so-metrizable spaces and images of metric spaces

Open 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

Embeddability of locally finite metric spaces into Banach spaces is finitely determined [PDF]

, 2011
The main purpose of the paper is to prove the following results: • Let A be a locally finite metric space whose finite subsets admit uniformly bilipschitz embeddings into a Banach space X. Then A admits a bilipschitz embedding into X.
M. Ostrovskii
semanticscholar   +1 more source

Every metric space is separable in function realizability [PDF]

Logical Methods in Computer Science, 2019
We first show that in the function realizability topos every metric space is separable, and every object with decidable equality is countable. More generally, working with synthetic topology, every $T_0$-space is separable and every discrete space is ...
Andrej Bauer, Andrew Swan
doaj   +1 more source

Pseudometric spaces: From minimality to maximality in the groups of combinatorial self-similarities

Analysis and Geometry in Metric Spaces, 2023
The group of combinatorial self-similarities of a pseudometric space (X,d)\left(X,d) is the maximal subgroup of the symmetric group Sym(X){\rm{Sym}}\left(X) whose elements preserve the four-point equality d(x,y)=d(u,v)d\left(x,y)=d\left(u,v).
Bilet Viktoriia, Dovgoshey Oleksiy
doaj   +1 more source