Results 231 to 240 of about 1,127,269 (277)

Uniform Continuity, Uniform Convergence, and Shields

Set-Valued and Variational Analysis, 2010
The authors study uniform continuity and uniform convergence in metric spaces using the notion of shields. A superset \(A_1\) of a nonempty subset \(A\) in a metric space \((X,d)\) is called a shield for \(A\) if \(C\cap A_1=\emptyset\) and \(C\) is closed in \(X\) imply that \(C\cap A{^\epsilon}=\emptyset\) for some \(\epsilon > 0\), where \(A ...
Gerald Beer
exaly   +2 more sources

Uniform split continuity

Journal of Mathematical Analysis and Applications, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Manisha Aggarwal
exaly   +3 more sources

Uniform continuity in sequentially uniform spaces

Acta Mathematica Hungarica, 1993
The authors prove that every uniformly sequential uniform space is proximally fine, i.e., it is the finest uniform space inducing its proximity (no references to this result are given; it was proved e.g. by \textit{N. S. Ramm} and \textit{A. S. Shvarts} [Mat. Sb., Nov. Ser. 33(75), 157-180 (1952; Zbl 0050.391)]).
S A Naimpally, A di Concilio
exaly   +4 more sources

Uniform continuity for all distance spaces [PDF]

open access: yesTopology and Its Applications, 1999
In this paper, we present a definition of uniform continuity which applies to morphisms in the category DST of distance spaces, and which generalizes the definitions of uniform continuity which apply in the categories of metric spaces, of nearness spaces
Paul Castillo, Darrell W Hajek
exaly   +2 more sources

Continuity and Uniform Continuity

2010
It is likely that your first calculus class included a discussion of continuity. Many students find the definition hard to understand, and in many calculus classes the fine details are skipped. One of the rewards of mastering the kind of mathematics discussed in this book is that items like \(\varepsilon - \delta\) the definition of continuity are ...
Matthias Beck, Ross Geoghegan
openaire   +1 more source

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