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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

COMPUTATION OF NIELSEN AND REIDEMEISTER COINCIDENCE NUMBERS FOR MULTIPLE MAPS

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Author(s):
Mendes Monis, Thais Fernanda [1] ; Wong, Peter [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Paulista UNESP, Inst Geociencias & Ciencias Exatas IGCE, Av 24A, 1515 Bela Vista, BR-13506900 Rio Claro, SP - Brazil
[2] Bates Coll, Dept Math, Lewiston, ME 04240 - USA
Total Affiliations: 2
Document type: Journal article
Source: TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 56, n. 2, p. 483-499, DEC 2020.
Web of Science Citations: 0
Abstract

Let f(1), . . ., f(k) : M -> N be maps between closed manifolds, N(f(1), . . ., f(k)) and R(f(1), . . ., f(k)) be the Nielsen and the Reideimeister coincidence numbers, respectively. In this note, we relate R(f(1), . . ., f(k)) with R(f(1), f(2)), . . .,R(f(1), f(k)). When N is a torus or a nilmanifold, we compute R(f(1), . . ., f(k)) which, in these cases, is equal to N(f(1), . . ., f(k)). (AU)

FAPESP's process: 18/03550-5 - Computational aspects of the Lefschetz, Nielsen and Reidemeister numbers for multiple maps.
Grantee:Thaís Fernanda Mendes Monis
Support Opportunities: Regular Research Grants