Fixed point index bounds for self-maps on closed surfaces
type: Item
instance of: scholarly article
title: Fixed point index bounds for self-maps on closed surfaces
zbMATH Open document ID: 1393.55002
author: Daciberg Lima Gonçalves
author: M. R. Kelly
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 2018-03-09T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.bbms/1515035016
review text: This paper concerns the fixed point index of maps of surfaces with non-positive Euler characteristic and non-empty boundary. Given a map having the minimal number of fixed points within its homotopy class, there are known upper and lower bounds for its fixed point index. This paper presents a new proof of this fact and, in the more restrictive framework of negative characteristic, extends these bounds to the case of closed surfaces.
reviewed by: Marco Spadini
Mathematics Subject Classification ID: 55M20
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 37C25
Mathematics Subject Classification ID: 37B30
zbMATH DE Number: 6848710
zbMATH Keywords: fixed point index
zbMATH Keywords: surface
zbMATH Keywords: minimal map
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6848710