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May 12, 2022 at 5:26 comment added Ryan Budney For motivation, my "mental shortcut" definition is that branched covers look locally like non-constant complex analytic maps (of complex curves). The branch points are where the derivative is zero.
May 11, 2022 at 20:04 answer added Sam Nead timeline score: 2
May 11, 2022 at 19:52 comment added Ryan Budney I'm used to a slightly different definition than what @NickL suggests. I do not think the map has to be one-to-one on the branch set. en.wikipedia.org/wiki/Branched_covering
May 11, 2022 at 19:04 comment added Nick L I cannot access the paper, but it seems to me that the definition of branched covering is quite standardized. It is a map which is a homeomorphism on a (usually closed ) subset and a covering map (usually finite degree) on its complement. Is there any reason why it would differ from that?
May 11, 2022 at 18:33 history asked Usa CC BY-SA 4.0