Click here for: Free Personality Quiz
Recall that a space Y is contractible if the identity map is homotopic to a constant map. Let Y be contractible space and let X be any space. Then, for any maps , .
Proof: Let Y be a contractible space and let X be any space. , where is a constant map. There exists a map such that , for . for some point .
Let be any two maps. Consider where
When , , . Therefore G is cts.