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Master's Dissertation
DOI
10.11606/D.55.2017.tde-12072017-164714
Document
Author
Full name
Cesar Augusto Ipanaque Zapata
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2017
Supervisor
Committee
Mattos, Denise de (President)
Libardi, Alice Kimie Miwa
Pergher, Pedro Luiz Queiroz
Santos, Raimundo Nonato Araújo dos
Title in Portuguese
Espaços de configurações
Keywords in Portuguese
Espaços de configurações
Fibração de Fadell e Neuwirth
Grupos de homotopia
Homologia singular
Sequências espectrais
Abstract in Portuguese
O objetivo principal deste trabalho será apresentar um estudo detalhado dos espaços de configurações. Dissertaremos sobre: espaços de configurações clássicos, invariância do bordo, espaço de configurações para superfícies, fibração de Fadell e Neuwirth e espaços de configurações do espaço Euclideano, da esfera e do espaço projetivo complexo.
Title in English
Configuration spaces
Keywords in English
Configuration spaces
Fadell-Neuwirth fibration
Homotopy groups
Singular homology
Spectral sequences
Abstract in English
The main objective of this work will be to present a detailed study of the configuration spaces. We will study: classical configuration spaces, invariance of the boundary, configuration spaces of surfaces, Fadell and Neuwirth fibration and configuration spaces of the Euclidean space and spheres.
 
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Publishing Date
2017-07-12
 
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