Definition:Path (Topology)/Also known as
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Path in context of Topology: Also known as
Some sources refer to a path as an arc.
However, the word arc, when used in the context of topology, is specifically defined on $\mathsf{Pr} \infty \mathsf{fWiki}$ to mean an injective path.
It is preferred that the distinction remains.
Sources
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): arc: 3.
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): path: 2.