Consider a branched cover $f:M\to N$ with branch set $A\subset M$ and $B\subset N$. In Rolfsen's book Knots and Links, it is assumed as part of the definition of a branched cover that the dimension of $A$ (or $B$) is 2 less than that of $M$ (or N). Is this condition always necessary in order to have a branched cover?
2026-03-26 19:25:06.1774553106
on branched covers
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