Attainable forms of lower spectra

Amlan Banaji, Haipeng Chen, Alex Rutar +1

Let $d\in \mathbb{N}$ and $\ddot{I}†:(0,1)\to [0,d]$. We prove there exists a set $F\subset {\mathbb{R}}^d$ whose lower spectrum ${\dim }^{\hat{I}}{¸}_{\mathrm{L}}F$ satisfies $(1-θ)\o…