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The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fiber bundles over S¹ and the fiber is the Klein bottle K. We classify all such maps which can be deformed fiberwise to a fixed point free map. The similar problem for torus fiber bundles over S¹ has been solved recently.

Fixed points on torus fiber bundles over the circle

D. L. Gonçalves, D. Penteado, J. P. Vieira (2004)

Fundamenta Mathematicae

The main purpose of this work is to study fixed points of fiber-preserving maps over the circle S¹ for spaces which are fibrations over S¹ and the fiber is the torus ,T. For the case where the fiber is a surface with nonpositive Euler characteristic, we establish general algebraic conditions, in terms of the fundamental group and the induced homomorphism, for the existence of a deformation of a map over S¹ to a fixed point free map. For the case where the fiber is a torus, we classify all maps over...

Displaying 1 – 11 of 11

Fibering Hilbert cube manifolds over ANRs

Fibrations and classifying spaces : an axiomatic approach I

Fibrations and classifying spaces : an axiomatic approach II

Fibrations and classifying spaces : overview and the classical examples

Fibre bundles associated with fields of geometric objects and the structure tensor

Fibrované variety a kvantová teorie

Fixed points on Klein bottle fiber bundles over the circle

Fixed points on torus fiber bundles over the circle

Flat bundles and holonomy homomorphisms.

Framing Sphere Bundles over Spheres, the Smith Pairing, and Three-Fold Toda Brackets.

Fundamental vector fields on associated fiber bundles

Currently displaying 1 – 11 of 11