# Andreotti–Frankel theorem

> theorem in homotopy theory that a Stein manifold of complex dimension 𝑛 admits a Morse function with critical points of index at most 𝑛 and hence homotopy-equivalent to a CW-complex of real dimension at most 𝑛

**Wikidata**: [Q4756099](https://www.wikidata.org/wiki/Q4756099)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Andreotti–Frankel_theorem)  
**Source**: https://4ort.xyz/entity/andreotti-frankel-theorem