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Minimal fixed point set of fiber-preserving maps on \(T\)-bundles over \(S^1\) - MaRDI portal

Minimal fixed point set of fiber-preserving maps on \(T\)-bundles over \(S^1\) (Q2250139)

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Minimal fixed point set of fiber-preserving maps on \(T\)-bundles over \(S^1\)
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    Minimal fixed point set of fiber-preserving maps on \(T\)-bundles over \(S^1\) (English)
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    4 July 2014
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    In this work the author studies the minimal fixed point set of fiber-preserving maps \(f:M\to M\), where \(M\) is a fiber bundle over the circle \(S^1\) and the fiber is the torus \(T\). Using the one-parameter fixed point theory he describes these sets in terms of the fundamental group of \(M\) and the induced homomorphisms \(f_{\#}\).
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    fiber bundle
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    fiberwise homotopy
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    minimal fixed point set
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    one-parameter fixed point theory
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