Tag Archives | unimodal

## unimodal category

We say that a continuous function is unimodal if all the upper excursion sets
$$e_f(c):=\{f≥c\}$$ are contractible. For a nonnegative function
$$f:\mathbb{R}^d\to\mathbb{R}_+$$ with compact support its unimodal category UCat(f) as the least number $$u$$ of summands in a decomposition \(f=\sum_{i=1}^u …