All Questions

Let $X$ be a (non-empty) compact subset of $D(0,M):=\left\{x\in \mathbb{R}^n:\, \|x\|\leq M\right\}$, and let $f:X\rightarrow Y$ be uniformly continuous; for some metric space $Y$. Are there any ...

My research has lead me to metric spaces $(M, \rho)$ which have the following geometric property: Suppose $x, y \in M$ and $r, s > 0$ such that $(x, r) \neq (y, s)$, $B[y; s] \subseteq B[x; r]$, $...

Given a metric space $(X,d)$ and a subset $S\subset X$, the projection $P_S$ onto $S$ is well-defined as a set valued function. I am interested in learning more about properties of these projections ...