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Borsuk–Ulam theorems
and their parametrized versions for spaces of type
$(a,b)$
Denise de Mattos, Pedro Luiz Q Pergher and Edivaldo L dos Santos |
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Algebraic & Geometric Topology 13 (2013) 2827–2843
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Abstract |
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Let be a space of type equipped with a free –action, with or . In this paper, we prove some theorems of Borsuk–Ulam-type and the corresponding parametrized versions for such –spaces. |
Keywords
Space of type $(a, b)$, parametrized Borsuk–Ulam theorem,
Leray–Serre spectral sequence, Borel construction,
characteristic polynomial, free action, equivariant map
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Mathematical Subject Classification 2010
Primary: 55M20
Secondary: 55R91, 55R25
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References |
Publication
Received: 18 July 2012
Revised: 19 April 2013
Accepted: 21 April 2013
Published: 20 July 2013
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Authors |
| Denise de Mattos | |
| Departamento de Matemática Instituto de Ciências Matemáticas e de Computação Universidade de São Paulo CP 668 13560-970 São Carlos – SP Brazil |
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| http://www.icmc.usp.br/~topologia/ | |
| Pedro Luiz Q Pergher | |
| 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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| Edivaldo L dos Santos | |
| 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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| http://www2.dm.ufscar.br/~edivaldo/ | |
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