Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2023.tde-10052023-151137
Document
Author
Full name
Leandro Vicente Mauri
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2023
Supervisor
Committee
Mattos, Denise de (President)
Grulha Junior, Nivaldo de Góes
Libardi, Alice Kimie Miwa
Pergher, Pedro Luiz Queiroz
Title in Portuguese
Teoremas do tipo Tverberg colorido e Teoremas do tipo Van Kampen-Flores
Keywords in Portuguese
complexo chessboard
Ãndice de Volovikov.
Teorema de Van Kampen-Flores, Topologia combinatória
Teorema topológico de Tverberg colorido
Abstract in Portuguese
O objetivo deste trabalho é obter novos teoremas do tipo Tverberg colorido e do tipo Van KampenFlores. Foram obtidos novos resultados do tipo Tverberg colorido, incluindo um teorema no qual o número de faces na partição de Tverberg não é potência de primo. Novos Teoremas do tipo Van Kampen-Flores para todo r também são resultados originais deste trabalho.
Title in English
Tverberg type theorems and Van Kampen-Flores type theorems
Keywords in English
: Colored Tverberg theorem
Topological combinatorics, chessboard complex
Van Kampen-Flores theorem
Volovikov index.
Abstract in English
The objective of this work is to obtain new colored Tverberg type theorem and of the Van Kampen-Flores type theorem. New colored Tverberg type results were obtained, including a theorem where the number of faces in the Tverberg partition is not a prime power. New Van Kampen-Flores Theorems for all r are also original results of this work.
WARNING - Viewing this document is conditioned on your acceptance of the following terms of use:
This document is only for private use for research and teaching activities. Reproduction for commercial use is forbidden. This rights cover the whole data about this document as well as its contents. Any uses or copies of this document in whole or in part must include the author's name.
Publishing Date
2023-05-11