作者：Daciberg; GONCALVES; Peter; WONGnielsencoincidencetheorynilmanifolds
摘要：Let f, g: X → Y be maps from a compact infra-nilmanifold X to a compact nilmanifold Y with dim X ≥ dim Y. In this note, we show that a certain Wecken type property holds, i.e., if the Nielsen number N(f, g) vanishes then f and g are deformable to be coincidence free. We also show that if X is a connected finite complex X and the Reidemeister coincidence number R(f, g) = ∞ then f - f’ so that C(f’, g) = {x ∈ X | f’(x) = g(x)} is empty.
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