activity
20042015
most citedMinimizing coincidence numbers of maps into projective spaces

15 citations · 51 across the 16 of their papers we have counts for

collaborators

19 papers

math.AT2015

Coincidences and secondary Nielsen numbers

Ulrich Koschorke

Let be maps between smooth connected manifolds of the indicated dimensions and . Can be deformed by…

math.AT2013★ 2 cited

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…

math.AT2013

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…

math.AT2013

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…

math.AT2013★ 6 cited

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…

math.AT2013

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…