- Thread starter
- #1

to itself has a fixed point.

Is anyone can help me to Prove the Brouwer Fixed point theorem for n = 1 using the fact: there is no retraction from the closed interval [-1,1] onto

the two point set {-1,1}.

also Assume that there is no retraction from the closed ballB^n= {x∈R^n: abs(x)<1} onto the sphere

S^n-1= {x∈R^n: abs(x)=1} Prove the

Brouwer Fixed Point Theorem.

Thanks