## Towards a simpler proof of the Brouwer fixed point theorem.(English)Zbl 0849.55001

The author proves a combinatorial lemma which is equivalent to Brouwer’s fixed point theorem in dimension 2.

### MSC:

 55M20 Fixed points and coincidences in algebraic topology 54H25 Fixed-point and coincidence theorems (topological aspects)

### Keywords:

Brouwer’s fixed point