Fixed points on Klein bottle fiber bundles over the circle
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Polish Acad Sciences Inst Mathematics
Institute of Mathematics, Polish Academy of Sciences
Institute of Mathematics, Polish Academy of Sciences
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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.
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Fundamenta Mathematicae. Warsaw 10: Polish Acad Sciences Inst Mathematics, v. 203, n. 3, p. 263-292, 2009.






