论文标题
保持完全有限的集合的功能相对于更强的连续性概念
Functions that preserve totally bounded sets vis-á-vis stronger notions of continuity
论文作者
论文摘要
如果两个度量空间之间的功能完全有限,则如果保留完全有限的集合,则是完全有限的。这些功能一般不必是连续的。因此,本文的目的是研究相对于连续功能的连续功能和功能,例如连续功能,例如连续功能,某些Lipschitz-type函数等。我们还对在\ cite \ cite {[bl2]}中首先引入的函数进行了一些分析,并在\ cite {[bl2]}中首先引入了一些分析。
A function between two metric spaces is said to be totally bounded regular if it preserves totally bounded sets. These functions need not be continuous in general. Hence the purpose of this article is to study such functions vis-á-vis continuous functions and functions that are stronger than the continuous functions such as Cauchy continuous functions, some Lipschitz-type functions etc. We also present some analysis on strongly uniformly continuous functions which were first introduced in \cite{[BL2]} and study when these functions are stable under reciprocation.