notebook/contents/category_theory.tex
2024-08-17 16:15:32 +02:00

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\langchapter{Théorie des Catégories}{Category theory}
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Category is a general theory of mathematical structures and their relations.
\langsection{Définition}{Definition}
A category $\Cat$ is a collection of objects and morphisms
\langsection{Morphismes}{Morphisms}
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\langsubsection{Isomorphisme}{Isomorphism} \label{definition:isomorphism}
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\langsubsection{Endomorphisme}{Endomorphism} \label{definition:endomorphism}
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\langsubsection{Homomorphisme}{Homomorphism}
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\langsubsection{Homeomorphisme}{Homeomorphism}
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\section{Functors}
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\subsection{Monads}
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\langsection{Argument diagonal}{Diagonal argument}
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