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For questions relating to path-connected topological spaces, that is, spaces where any two points can be connected by a path.

2 votes
1 answer
181 views

Proof of existence and uniqueness of solution to f(c)=0

I have a function $f:R^n_+\rightarrow R^n$ for which I want to show the following: $$\exists c\in R^n_+ \quad \forall i,j\,\,f_i(c)=f_j(c)$$ Where $f_i (c)$ are the different coordinates of $f$. $f$ …