On the uniqueness of the coincidence index on orientable differentiable manifolds

Christopher P. Staecker

doi:10.1016/j.topol.2007.02.003

On the uniqueness of the coincidence index on orientable differentiable manifolds

Christopher P. Staecker

Fairfield University

Research output: Contribution to journal › Article › peer-review

Abstract

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 coincidenceindex is an extension of the concept to topological (Nielsen) coincidence theory. We demonstrate that three natural axioms are sufficient to characterize the coincidenceindex in the setting of continuous mappings on oriented differentiablemanifolds, the most common setting for Nielsen coincidence theory.

Original language	American English
Journal	Topology and its Applications
Volume	154
DOIs	https://doi.org/10.1016/j.topol.2007.02.003
State	Published - Jan 1 2007

Keywords

Coincidence index
Nielsen theory
Coincidence theory

Disciplines

Computer Sciences
Physical Sciences and Mathematics

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10.1016/j.topol.2007.02.003License: CC BY

On the uniqueness of the coincidence index on orientable differenFinal published version, 200 KBLicense: CC BY

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title = "On the uniqueness of the coincidence index on orientable differentiable manifolds",

abstract = " 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 coincidenceindex is an extension of the concept to topological (Nielsen) coincidence theory. We demonstrate that three natural axioms are sufficient to characterize the coincidenceindex in the setting of continuous mappings on oriented differentiablemanifolds, the most common setting for Nielsen coincidence theory.",

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AB - 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 coincidenceindex is an extension of the concept to topological (Nielsen) coincidence theory. We demonstrate that three natural axioms are sufficient to characterize the coincidenceindex in the setting of continuous mappings on oriented differentiablemanifolds, the most common setting for Nielsen coincidence theory.

KW - Coincidence index

KW - Nielsen theory

KW - Coincidence theory

UR - https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/30

U2 - 10.1016/j.topol.2007.02.003

DO - 10.1016/j.topol.2007.02.003

M3 - Article

VL - 154

JO - Topology and its Applications

JF - Topology and its Applications

ER -

On the uniqueness of the coincidence index on orientable differentiable manifolds

Abstract

Keywords

Disciplines

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