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  1. Journal of Fixed Point Theory and Applications
  2. Journal of Fixed Point Theory and Applications : Volume 18
  3. Journal of Fixed Point Theory and Applications : Volume 18, Issue 1, March 2016
  4. Coincidence invariants and higher Reidemeister traces
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Journal of Fixed Point Theory and Applications : Volume 19
Journal of Fixed Point Theory and Applications : Volume 18
Journal of Fixed Point Theory and Applications : Volume 18, Issue 4, December 2016
Journal of Fixed Point Theory and Applications : Volume 18, Issue 3, September 2016
Journal of Fixed Point Theory and Applications : Volume 18, Issue 2, June 2016
Journal of Fixed Point Theory and Applications : Volume 18, Issue 1, March 2016
On the strong convergence of a general-type Krasnosel’skii–Mann’s algorithm depending on the coefficients
Two algorithms for solving single-valued variational inequalities and fixed point problems
On new stability results for generalized Cauchy functional equations on groups by using Brzdȩk’s fixed point theorem
Lefschetz coincidence class for several maps
Using KKM technique in set-valued optimization problems and variational-like inequalities
Spherical nonspreadingness of resolvents of convex functions in geodesic spaces
Cube-like complexes, Steinhaus’ chains and the Poincaré–Miranda theorem
Selections of set-valued functions satisfying the general linear inclusion
Coincidence invariants and higher Reidemeister traces
Best proximity points, cyclic Kannan maps and geodesic metric spaces
A Neumann problem of Ambrosetti–Prodi type
A new approach to the Assad–Kirk fixed point theorem
Fixed points of non-Newtonian contraction mappings on non-Newtonian metric spaces
Journal of Fixed Point Theory and Applications : Volume 17
Journal of Fixed Point Theory and Applications : Volume 16
Journal of Fixed Point Theory and Applications : Volume 15
Journal of Fixed Point Theory and Applications : Volume 14
Journal of Fixed Point Theory and Applications : Volume 13
Journal of Fixed Point Theory and Applications : Volume 12
Journal of Fixed Point Theory and Applications : Volume 11
Journal of Fixed Point Theory and Applications : Volume 10
Journal of Fixed Point Theory and Applications : Volume 9
Journal of Fixed Point Theory and Applications : Volume 8
Journal of Fixed Point Theory and Applications : Volume 7
Journal of Fixed Point Theory and Applications : Volume 6
Journal of Fixed Point Theory and Applications : Volume 5
Journal of Fixed Point Theory and Applications : Volume 4
Journal of Fixed Point Theory and Applications : Volume 3
Journal of Fixed Point Theory and Applications : Volume 2
Journal of Fixed Point Theory and Applications : Volume 1

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Coincidence invariants and higher Reidemeister traces

Content Provider Springer Nature Link
Author Ponto, Kate
Copyright Year 2015
Abstract The Lefschetz number and fixed point index can be thought of as two different descriptions of the same invariant. The Lefschetz number is algebraic and defined using homology. The index is defined more directly from the topology and is a stable homotopy class. Both the Lefschetz number and index admit generalizations to coincidences and the comparison of these invariants retains its central role. In this paper, we show that the identification of the Lefschetz number and index using formal properties of the symmetric monoidal trace extends to coincidence invariants. This perspective on the coincidence index and Lefschetz number also suggests difficulties for generalizations to a coincidence Reidemeister trace.
Starting Page 147
Ending Page 165
Page Count 19
File Format PDF
ISSN 16617738
Journal Journal of Fixed Point Theory and Applications
Volume Number 18
Issue Number 1
e-ISSN 16617746
Language English
Publisher Springer International Publishing
Publisher Date 2015-11-02
Publisher Place Cham
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Lefschetz number Reidemeister trace Nielsen number fixed point coincidences Double categories, $2$-categories, bicategories and generalizations Monoidal categories (= multiplicative categories), symmetric monoidal categories, braided categories Fixed points and coincidences Spanier-Whitehead duality Mathematics Analysis Mathematical Methods in Physics
Content Type Text
Resource Type Article
Subject Geometry and Topology Applied Mathematics Modeling and Simulation
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