Axioms for a local Reidemeister trace in fixed point and coincidence theory on differentiable manifolds

Christopher P. Staecker

doi:10.1007/s11784-008-0055-8

Axioms for a local Reidemeister trace in fixed point and coincidence theory on differentiable manifolds

Christopher P. Staecker

Fairfield University

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

Abstract

We give axioms which characterize the local Reidemeister trace for orientable differentiable manifolds. The local Reidemeister trace in fixed point theory is already known, and we provide both uniqueness and existence results for the local Reidemeister trace in coincidence theory.

Original language	American English
Journal	Journal of Fixed Point Theory and Applications
Volume	5
DOIs	https://doi.org/10.1007/s11784-008-0055-8
State	Published - Jan 1 2009

Keywords

Reidemeister trace
fixed point
coincidence

Disciplines

Computer Sciences
Physical Sciences and Mathematics

Access to Document

10.1007/s11784-008-0055-8License: CC BY

Axioms for a local Reidemeister trace in fixed point and coincideFinal published version, 174 KBLicense: CC BY

Cite this

@article{5ebfc52a67a24f81ab9c15a10ae222aa,

title = "Axioms for a local Reidemeister trace in fixed point and coincidence theory on differentiable manifolds",

abstract = " We give axioms which characterize the local Reidemeister trace for orientable differentiable manifolds. The local Reidemeister trace in fixed point theory is already known, and we provide both uniqueness and existence results for the local Reidemeister trace in coincidence theory.",

keywords = "Reidemeister trace, fixed point, coincidence",

author = "Staecker, \{Christopher P.\}",

year = "2009",

month = jan,

day = "1",

doi = "10.1007/s11784-008-0055-8",

language = "American English",

volume = "5",

journal = "Journal of Fixed Point Theory and Applications",

}

TY - JOUR

T1 - Axioms for a local Reidemeister trace in fixed point and coincidence theory on differentiable manifolds

AU - Staecker, Christopher P.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - We give axioms which characterize the local Reidemeister trace for orientable differentiable manifolds. The local Reidemeister trace in fixed point theory is already known, and we provide both uniqueness and existence results for the local Reidemeister trace in coincidence theory.

AB - We give axioms which characterize the local Reidemeister trace for orientable differentiable manifolds. The local Reidemeister trace in fixed point theory is already known, and we provide both uniqueness and existence results for the local Reidemeister trace in coincidence theory.

KW - Reidemeister trace

KW - fixed point

KW - coincidence

UR - https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/31

U2 - 10.1007/s11784-008-0055-8

DO - 10.1007/s11784-008-0055-8

M3 - Article

VL - 5

JO - Journal of Fixed Point Theory and Applications

JF - Journal of Fixed Point Theory and Applications

ER -

Axioms for a local Reidemeister trace in fixed point and coincidence theory on differentiable manifolds

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Cite this