0 votes 0 votes Let $(X,d)$ be an infinite compact metric space. Then there exists no function $f:X\rightarrow X$, continuous or otherwise, with the property that $d(f(x),f(y))>d(x,y)$ for all $x\neq y$. Others tifrmaths2021 + – soujanyareddy13 asked Sep 27, 2021 edited Oct 23, 2021 by go_editor soujanyareddy13 131 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.