Coincidence of maps on torus fiber bundles over the circle

João Peres Vieira



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.


Coincidence; fibre bundle; fibrewise homotopy

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