Topological Methods in Nonlinear Analysis

Coincidence of maps on torus fiber bundles over the circle

João Peres Vieira

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Abstract

The main purpose of this work is to study coincidences of fibre-preserving self-maps over the circle $S^1$ for spaces which are fibre bundles over $S^1$ and the fibre is the torus $T$. We classify all pairs of self-maps over $S^1$ which can be deformed fibrewise to a pair of coincidence free maps.

Article information

Source
Topol. Methods Nonlinear Anal., Volume 46, Number 2 (2015), 507-548.

Dates
First available in Project Euclid: 21 March 2016

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1458588650

Digital Object Identifier
doi:10.12775/TMNA.2015.057

Mathematical Reviews number (MathSciNet)
MR3494957

Zentralblatt MATH identifier
1366.55002

Citation

Vieira, João Peres. Coincidence of maps on torus fiber bundles over the circle. Topol. Methods Nonlinear Anal. 46 (2015), no. 2, 507--548. doi:10.12775/TMNA.2015.057. https://projecteuclid.org/euclid.tmna/1458588650


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