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branched covering
In mathematics, ''branched covering'' is a term used to describe a map that is almost a covering map, except on a small set.
==In topology==
In topology, a map is a ''branched covering'' if it is a covering map everywhere except for a nowhere-dense set known as the branch set. Examples include the map from a wedge of circles to a single circle, where the map is a homeomorphism on each circle.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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