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Master's Dissertation
DOI
https://doi.org/10.11606/D.45.2021.tde-11022022-160136
Document
Author
Full name
Javier Alberto Aponte Barrios
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2021
Supervisor
Committee
Mariano, Hugo Luiz (President)
Silva, Samuel Gomes da
Zambrano-ramirez, Pedro Hernan
Title in Portuguese
Uma visão conjuntista de alguns resultados em colimites de estruturas e aplicações
Keywords in Portuguese
Cardinais C(n)
Categorias acessíveis
Colimites de estruturas
Grandes cardinais
Princípio de Vopenka
Abstract in Portuguese
O objetivo central desta Dissertação é estudar alguns teoremas referentes à teoria das categorias de estruturas, por meio de ferramentas e argumentos da teoria dos conjuntos, a fim de mostrar que, nesse contexto, esse tipo de argumentação pode ser mais fina do que os seus equivalentes categoriais. Secundariamente são exploradas algumas aplicações matemáticas dos instrumentais categorial e conjuntista aqui desenvolvidos.
Title in English
A Set-Theoretic View of Some Results in Colimits of Structures and Applications
Keywords in English
Accessible categories
C(n)-cardinals
Colimits of structures
Large cardinals
Vopenka's principle
Abstract in English
The main goal of this Dissertation is to study some theorems about category theory of structures, using tools and arguments from set theory, in order to show that, in this context, this type of argumentation can be sharper than their categorical equivalents. Secondly, some mathematical applications of the categorical and conjunctist instruments here developed are explored.
 
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Publishing Date
2022-03-15
 
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