Talk:Path (topology)
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Self-contradictory usage of parameter intervals
[edit]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.
![{\displaystyle [0,1]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/738f7d23bb2d9642bab520020873cccbef49768d)
![{\displaystyle [a,b]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9c4b788fc5c637e26ee98b45f89a5c08c85f7935)
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)