A Geometric Vietoris-Begle Theorem, with an Application to Convex Subsets of Topological Vector Lattices

Andrew McLennan

We show that if $L$ is a topological vector lattice, $u:L\to L$ is the function $u(x)=x\vee 0$, $C\subset L$ is convex, and $D=u(C)$ is metrizable, then $D$ is an ANR…