Relative preimage problem

Minimizing the number of Nielsen preimage classes

“…Here we recall how another, at first sight more general, setting [10,11] can be reduced to the preimage problem. In particular, if B consists of just one point, this is set of common roots; for B = Y this is the coincidence set Coin(f 1 , .…”

“…Here we recall how another, at first sight more general, setting [10,11] can be reduced to the preimage problem.…”

“…For X , Y , B manifolds with dim X = dim Y − dim B 3 Wecken type theorems hold true; see Dobreńko and Kucharski [8,Theorem (3.4)], Jezierski [20,Theorem (3.2)] and Frolkina [10,11] for maps of pairs of smooth manifolds. The case of a surface X is more complicated.…”