Banach spaces provide a fundamental framework for analysing problems in functional analysis, encapsulating the notion of complete normed vector spaces. Metric geometry, by contrast, concerns itself ...

Geometric analysis of metric spaces is a vibrant research area at the interface of analysis, geometry and topology. It examines the intrinsic structure of spaces endowed with a notion of distance, ...

A metric space $(X, d)$ is called an $M$-space if for every $x$ and $y$ in $X$ and for every $r \in \lbrack 0, \lambda \rbrack$ we have $B\lbrack x, r \rbrack \cap B ...

When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. Paul Sutter is an astrophysicist at The Ohio State University and the chief scientist at COSI ...