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math.AT2017
Lifting classes for the fixed point theory of -valued maps
Robert F. Brown, Charlotte Deconinck, Karel Dekimpe +1
The theory of lifting classes and the Reidemeister number of single-valued maps of a finite polyhedron is extended to -valued maps by replacing liftings to universal coverin…
math.AT2004★ 1 cited
The Lefschetz-Hopf theorem and axioms for the Lefschetz number
Martin Arkowitz, Robert F. Brown
The reduced Lefschetz number, that is, the Lefschetz number minus 1, is proved to be the unique integer-valued function L on selfmaps of compact polyhedra which is constant on homo…
math.AT2004★ 2 cited
The boundary-Wecken classification of surfaces
Robert F. Brown, Michael R. Kelly
Let X be a compact 2-manifold with nonempty boundary dX and let f: (X, dX) --> (X, dX) be a boundary-preserving map. Denote by MF_d[f] the minimum number of fixed point among all b…