This page lists selection theorems in mathematics.

## Selection theorems for set-valued functions[edit]

- Bressan–Colombo directionally continuous selection theorem
- Castaing representation theorem
- Fryszkowski decomposable map selection
- Helly's selection theorem
- Kuratowski and Ryll-Nardzewski measurable selection theorem
- Michael selection theorem
- Zero-dimensional Michael selection theorem
- Robert Aumann measurable selection theorem