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Degree of a continuous mapping: Revision history


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  • curprev 06:0906:09, 23 July 2023 136.56.119.17 talk 10,827 bytes −27 I deleted the part where it said covering map, since a covering map would require surjectivity. The section on differential topology only mentions arbitrary smooth maps, without the needed surjectivity assumption. undo

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  • curprev 06:4606:46, 4 June 2021 ExtremeRay talk contribs 10,623 bytes +2 I changed "domain" to "codomain". If the domain X of f:X\to Y is connected but the codomain Y is not, then f will have degree zero over all points in connected components of Y that are disjoint from the image. Elsewhere it can have positive degree. On the other hand, having fixed an orientation on X and Y, then Y being connected ensures that this number is independent from the choice of p in Y. undo

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