Geodesic
Borsuk–Ulam theorems and their parametrized versions for spaces of type (a,b)
de Mattos, Denise1 ; Pergher, Pedro Luiz2 ; dos Santos, Edivaldo2
1Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, CP 668, 13560-970 São Carlos – SP, Brazil
2Departamento de Matemática, Universidade Federal de São Carlos, Centro de Ciências Exatas e Tecnologia, CP 676, CEP 13565-905, São Carlos – SP, Brazil
Algebraic and Geometric Topology, Tome 13 (2013) no. 5, pp. 2827-2843
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Let X be a space of type (a,b) equipped with a free G–action, with G = ℤ2 or S1. In this paper, we prove some theorems of Borsuk–Ulam-type and the corresponding parametrized versions for such G–spaces.

DOI : 10.2140/agt.2013.13.2827
Classification : 55M20, 55R91, 55R25
Keywords: Space of type $(a, b)$, parametrized Borsuk–Ulam theorem, Leray–Serre spectral sequence, Borel construction, characteristic polynomial, free action, equivariant map

de Mattos, Denise  1   ; Pergher, Pedro Luiz  2   ; dos Santos, Edivaldo  2

1 Departamento de Matemática, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo, CP 668, 13560-970 São Carlos – SP, Brazil
2 Departamento de Matemática, Universidade Federal de São Carlos, Centro de Ciências Exatas e Tecnologia, CP 676, CEP 13565-905, São Carlos – SP, Brazil 
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de Mattos, Denise; Pergher, Pedro Luiz; dos Santos, Edivaldo. Borsuk–Ulam theorems and their parametrized versions for spaces of type (a,b). Algebraic and Geometric Topology, Tome 13 (2013) no. 5, pp. 2827-2843. doi: 10.2140/agt.2013.13.2827

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