Self-contradictory usage of parameter intervals

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In the first sentence the path is defined on the unit interval  . However, in the subsequent formal definition, paths on arbitrary compact intervals   are used.

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