Fixed points on Klein bottle fiber bundles over the circle
Volume 203 / 2009
Fundamenta Mathematicae 203 (2009), 263-292
MSC: Primary 55M20; Secondary 55R10, 55S35.
DOI: 10.4064/fm203-3-3
Abstract
The main purpose of this work is to study fixed points of fiber-preserving maps over the circle $S^1$ for spaces which are fiber bundles over $S^1$ 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 $S^{1}$ has been solved recently.
