Will every continuous map of a square region into itself have a fixed point? Why or why

Question:

Will every continuous map of a square region into itself have a fixed point? Why or why not? Will every continuous map of a space consisting of two disjoint 2-cells into itself have a fixed point? Why or why not?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question
Question Posted: