I am trying exam questions of another Institute in topology because my instructor was terrible.
I need help in proving following question -> Question 5
Can someone please tell how can I prove it. I have no clue regarding this.
2026-03-27 01:43:37.1774575817
Proving C[0, 1] be polygonally connected
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The function $p(t)=tg + (1-t)f$ is continuous ($[0,1] \to C[0,1]$) and is a path from $f$ to $g$ in $C[0,1]$.