On the uniqueness of the coincidence index on orientable differentiable manifolds

Details On the uniqueness of the coincidence index on orientable differentiable manifolds On the uniqueness of the coincidence index on orientable differentiable manifolds

2006-07-28

arxiv.org/abs/math/0607751v6

Topology and its Applications 154, May 2007, p.1961--170

Mathematics

General Topology

Major addition- section added at end. Previous material mostly unchanged. Numbering, etc. now in sync with publication version

Scientific paper

The fixed point index of topological fixed point theory is a well studied integer-valued algebraic invariant of a mapping which can be characterized by a small set of axioms. The coincidence index is an extension of the concept to topological (Nielsen) coincidence theory. We demonstrate that three natural axioms are sufficient to characterize the coincidence index in the setting of continuous mappings on oriented differentiable manifolds, the most common setting for Nielsen coincidence theory.

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