15 citations · 51 across the 16 of their papers we have counts for
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Nielsen coincidence numbers, Hopf invariants and spherical space forms
Ulrich Koschorke
Given two maps between smooth manifolds, the obstruction to removing their coincidences (via homotopies) is measured by minimum numbers. In order to determine them we introduce and…
Kervaire invariants and selfcoincidences
Ulrich Koschorke, Duane Randall
Minimum numbers decide e.g. whether a given map f: S^m --> S^n/G from a sphere into a spherical space form can be deformed to a map f' such that f(x) not equal f'(x) for all x in S…
Nielsen numbers in topological coincidence theory
Ulrich Koschorke
We discuss coincidences of pairs (f_1, f_2) of maps between manifolds. We recall briefly the definition of four types of Nielsen numbers which arise naturally from the geometry of…
Minimum numbers and Wecken theorems in topological coincidence theory. I
Ulrich Koschorke
Minimum numbers measure the obstruction to removing coincidences of two given maps (between smooth manifolds M and N of dimensions m and n, resp.). In this paper we compare them to…
Reidemeister coincidence invariants of fiberwise maps
Ulrich Koschorke
Given two fiberwise maps f1, f2 between smooth fiber bundles over a base manifold B, we develop techniques for calculating their Nielsen coincidence number. In certain settings we…
Nielsen coincidence theory of fibre-preserving maps and Dold's fixed point index
Daciberg L. Gonçalves, Ulrich Koschorke
Let M to B, N to B be fibrations and f1,f2 :M to N be a pair of fibre-preserving maps. Using normal bordism techniques we define an invariant which is an obstruction to deforming t…