Talk:Path (topology)

Self-contradictory usage of parameter intervals
In the first sentence the path is defined on the unit interval $$[0,1]$$. However, in the subsequent formal definition, paths on arbitrary compact intervals $$[a,b]$$ are used.

I propose defining paths on $$[a, b]$$ and to add a remark that some literature uses $$[0, 1]$$. Also, path composition would be associative with the proposed definition, possibly eliminating some confusion. K6 (talk) 16:37, 18 June 2021 (UTC)