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Unformatted text preview: F to the boundary of the square.) 3. Denote by B 2 the open unit ball in R 2 . Give an example of a continuous map f : B 2 → B 2 with no ﬁxed points. Challenge (extra credit): Construct a set X ⊂ R 2 (with the standard topology) such that the closure of X is R 2 and every continuous map f : X → X has a ﬁxed point....
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This note was uploaded on 02/10/2010 for the course MATH 205 taught by Professor Smith during the Spring '05 term at Adrian College.
- Spring '05