From ae1c456f6467a50427fc485ec5ae163495ea0e52 Mon Sep 17 00:00:00 2001
From: Franciszek Malinka <franciszek.malinka@gmail.com>
Date: Wed, 13 Jul 2022 23:09:49 +0200
Subject: Ortografia

---
 sections/fraisse_classes.tex | 18 +++++++++---------
 1 file changed, 9 insertions(+), 9 deletions(-)

(limited to 'sections/fraisse_classes.tex')

diff --git a/sections/fraisse_classes.tex b/sections/fraisse_classes.tex
index 993ca73..87647c6 100644
--- a/sections/fraisse_classes.tex
+++ b/sections/fraisse_classes.tex
@@ -15,7 +15,7 @@
   \end{definition}
 
   \begin{definition}
-	We say that a class $\cK$ of finitely generated strcutures 
+	We say that a class $\cK$ of finitely generated structures 
 	is \emph{essentially countable} if it has countably many isomorphism types
 	of finitely generated structures.
   \end{definition}
@@ -40,7 +40,7 @@
   \end{definition}
 
   In terms of category theory we may say that $\cK$ is a category of finitely
-  generated strcutures where morphims are embeddings of those strcutures.
+  generated structures where morphisms are embeddings of those structures.
   Then the above diagram is a \emph{span} diagram in category $\cK$. 
 
   Fraïssé has shown fundamental theorems regarding age of a structure, one of 
@@ -272,7 +272,7 @@
 
   \begin{definition}
 	\label{definition:free_amalgamation} 
-	Let $L$ be a relational language and $\cK$ a class of $L$-strucutres.
+	Let $L$ be a relational language and $\cK$ a class of $L$-structures.
 	$\cK$ has \emph{free amalgamation} if for every
 	$A, B, C\in\cK$ such that $C = A\cap B$ the following diagram commutes:
 	\begin{center}
@@ -283,7 +283,7 @@
 	  \end{tikzcd}
 	\end{center}
 
-	$A\sqcup_C B$ here is an $L$-strcuture with domain $A\cup B$ such that
+	$A\sqcup_C B$ here is an $L$-structure with domain $A\cup B$ such that
 	for every $n$-ary symbol $R$ from $L$, $n$-tuple $\bar{a}\subseteq A\cup B$,
 	we have that $A\sqcup B\models R(\bar{a})$ if and only if [$\bar{a}\subseteq A$ and
 	$A\models R(\bar{a})$] or [$\bar{a}\subseteq B$ and $B\models R(\bar{a})$].
@@ -346,11 +346,11 @@
 	\end{itemize}
   \end{definition}
 
-  From now on in the paper, when $A$ is an $L$-strcuture and $\alpha$ is 
+  From now on in the paper, when $A$ is an $L$-structure and $\alpha$ is 
   an automorphism of
-  $A$, then by $(A, \alpha)$ we mean the strucutre $A$ expanded by the
-  unary function corresping to $\alpha$, and $A$ constantly denotes the
-  $L$-strucutre.
+  $A$, then by $(A, \alpha)$ we mean the structure $A$ expanded by the
+  unary function corresponding to $\alpha$, and $A$ constantly denotes the
+  $L$-structure.
 
   \begin{theorem}
 	\label{theorem:canonical_amalgamation_thm}
@@ -376,7 +376,7 @@
 	\end{center}
 	
 	Then, by the Fact \ref{fact:functor_iso}, $\otimes_C(\eta)$ is an automorphism
-	of the pushout diagram that looks exaclty like the diagram in the second
+	of the pushout diagram that looks exactly like the diagram in the second
 	point of the Definition \ref{definition:canonical_amalgamation}.
 	
 	This means that the morphism $\delta\colon A\otimes_C B\to A\otimes_C B$
-- 
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