Fixed points on Klein bottle fiber bundles over the circle

D. L. Gonçalves, D. Penteado, and J. P. Vieira. "Fixed points on Klein bottle fiber bundles over the circle." Fundamenta Mathematicae 203.3 (2009): 263-292. <http://eudml.org/doc/283343>.

@article{D2009,
abstract = {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.},
author = {D. L. Gonçalves, D. Penteado, J. P. Vieira},
journal = {Fundamenta Mathematicae},
keywords = {fixed point; fiber bundle; fiberwise homotopy; abelianized obstruction},
language = {eng},
number = {3},
pages = {263-292},
title = {Fixed points on Klein bottle fiber bundles over the circle},
url = {http://eudml.org/doc/283343},
volume = {203},
year = {2009},
}

TY - JOUR
AU - D. L. Gonçalves
AU - D. Penteado
AU - J. P. Vieira
TI - Fixed points on Klein bottle fiber bundles over the circle
JO - Fundamenta Mathematicae
PY - 2009
VL - 203
IS - 3
SP - 263
EP - 292
AB - 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.
LA - eng
KW - fixed point; fiber bundle; fiberwise homotopy; abelianized obstruction
UR - http://eudml.org/doc/283343
ER -