Fixed points on Klein bottle fiber bundles over the circle

• Autorzy: D. L. Gonçalves , D. Penteado , J. P. Vieira
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55M20: Fixed points and coincidences
• 55R10: Fiber bundles
• 55S35: Obstruction theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 203
• Numer: 3
• Strony: 263-292

Daty

wydano

2009

Twórcy

autor

D. L. Gonçalves

• Departamento de Matemática, IME - USP, Caixa Postal 66.281, CEP 05314-970, São Paulo, SP, Brazil

autor

D. Penteado

• Departamento de Matemática, Universidade Federal de São Carlos, Rodovia Washington Luiz, Km 235, São Carlos 13565-905, Brazil

autor

J. P. Vieira

• Departamento de Matemática, I.G.C.E, São Paulo State University - UNESP, Caixa Postal 178, Rio Claro 13500-230, Brazil

Identyfikatory

DOI

10.4064/fm203-3-3