From 89bbc9adf9e33d307c763ea40814992f4195926e Mon Sep 17 00:00:00 2001 From: saundersp Date: Mon, 5 Aug 2024 00:36:02 +0200 Subject: [PATCH] category_theory : added more morphisms --- contents/category_theory.tex | 18 ++++++++++++++++++ 1 file changed, 18 insertions(+) diff --git a/contents/category_theory.tex b/contents/category_theory.tex index 6615094..f1a2aa9 100644 --- a/contents/category_theory.tex +++ b/contents/category_theory.tex @@ -1,9 +1,27 @@ \langchapter{Théorie des Catégories}{Category theory} %TODO Complete chapter +Category is a general theory of mathematical structures and their relations. + +\langsection{Définition}{Definition} + +A category $C$ is a collection of objects and morphisms + \langsection{Morphismes}{Morphisms} %TODO Complete section +\langsubsection{Isomorphisme}{Isomorphism} \label{definition:isomorphism} +%TODO Complete section + +\langsubsection{Endomorphisme}{Endomorphism} \label{definition:endomorphism} +%TODO Complete section + +\langsubsection{Homomorphisme}{Homomorphism} +%TODO Complete section + +\langsubsection{Homeomorphisme}{Homeomorphism} +%TODO Complete section + \section{Functors} %TODO Complete section