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Please visualize the loop as well on the square. Let G be a path connected topological group. Given two loops , based at e in

Please visualize the loop as well on the square. Let $G$ be a path connected topological group. Given two loops $,$ based at $e$ in $G .$ Defined a map

$F$ : $[0, 1] [0, 1] G$ by $F (s, t) = (s) * (t),$ where $*$ denotes multiplication in $G .$

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Please visualize the loop as well on the square. Let G be a path connected topological group. Given two loops , based at e in

Please visualize the loop as well on the square. Let G be a path connected topological group. Given two loops , based at e in G. Defined a map F:[0,1][0,1]G by F(s,t)=(s)*(t), where * denotes multiplication in G.

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Please visualize the loop as well on the square. Let $G$ be a path connected topological group. Given two loops $,$ based at $e$ in $G .$ Defined a map

$F$ : $[0, 1] [0, 1] G$ by $F (s, t) = (s) * (t),$ where $*$ denotes multiplication in $G .$