Open Access
Translator Disclaimer
2003 Obstruction theory and minimal number of coincidences for maps from a complex into a manifold
Lucilía D. Borsari, Daciberg L. Gonçalves
Topol. Methods Nonlinear Anal. 21(1): 115-130 (2003).

Abstract

The Nielsen coincidence theory is well understood for a pair of maps between $n$-dimensional compact manifolds for $n$ greater than or equal to three. We consider coincidence theory of a pair $(f,g)\colon K \to \mathbb N^n$, where $K$ is a finite simplicial complex of the same dimension as the manifold $\mathbb N^n$. We construct an algorithm to find the minimal number of coincidences in the homotopy class of the pair based on the obstruction to deform the pair to coincidence free. Some particular cases are analyzed including the one where the target is simply connected.

Citation

Download Citation

Lucilía D. Borsari. Daciberg L. Gonçalves. "Obstruction theory and minimal number of coincidences for maps from a complex into a manifold." Topol. Methods Nonlinear Anal. 21 (1) 115 - 130, 2003.

Information

Published: 2003
First available in Project Euclid: 30 September 2016

zbMATH: 1045.55001
MathSciNet: MR1980139

Rights: Copyright © 2003 Juliusz P. Schauder Centre for Nonlinear Studies

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.21 • No. 1 • 2003
Back to Top