query: How to prove continuity of the retraction map in proof of Brouwer's fixed point theorem?
positive_passages.docid: 147247
positive_passages.text: Continuous function on closed unit ball
negative_passages.docid: 127114
negative_passages.text: Differentiability implying continuity
negative_passages.docid: 154572
negative_passages.text: Continuity of a function at an isolated point
negative_passages.docid: 126212
negative_passages.text: Proving uniform continuity on an interval
negative_passages.docid: 141366
negative_passages.text: Absolutely continuity and Lipschitz-like continuity
negative_passages.docid: 102315
negative_passages.text: difference of uniform continuity and continuity of map
negative_passages.docid: 97761
negative_passages.text: Show that a proper continuous map from $X$ to locally compact $Y$ is closed
negative_passages.docid: 155923
negative_passages.text: continuity of $f(x,y)$ in $\mathbb R^2$.
negative_passages.docid: 13257
negative_passages.text: How to prove this problem about uniform continuity
negative_passages.docid: 32359
negative_passages.text: Inner product of two continuous maps is continuous
negative_passages.docid: 87239
negative_passages.text: Prove functions defined by sup and inf are continuous
negative_passages.docid: 25874
negative_passages.text: Showing that a certain map is not flat by explicit counterexample
negative_passages.docid: 4538
negative_passages.text: Is the mapping $ d : X\times X \mapsto \mathbb {R} $ continuous?
negative_passages.docid: 15095
negative_passages.text: continuous onto map from $(0,1)\to (0,1]$
negative_passages.docid: 83046
negative_passages.text: A linear map, continuous at zero, is bounded
negative_passages.docid: 152590
negative_passages.text: At most finitely many (Hamel) coordinate functionals are continuous - different proof
negative_passages.docid: 153952
negative_passages.text: A map between metric spaces preserving convergent sequences is continuous