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Fix bad typo on integrals
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Signed-off-by: Marcello Seri <marcello.seri@gmail.com>
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mseri committed Jan 22, 2024
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2 changes: 1 addition & 1 deletion 7-integration.tex
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Expand Up @@ -429,7 +429,7 @@ \section{Integrals on manifolds}
The definition above makes sense only if the value of the integral is independent of the chosen partition, but with the help of the previous lemma this is easily checked.

\begin{lemma}\label{lemma:intinman}
The value of $\int_M\omega$ is independent from the choice of the atlas and the choice of partition of unity.
The value of $\int_M\omega$ is independent from the choice of covering and the choice of partition of unity.
\end{lemma}
\begin{proof}
The independence from the choice of the charts was demonstrated in Lemma~\ref{lemma:intindep:chart}.
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2 changes: 1 addition & 1 deletion aom.tex
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Expand Up @@ -275,7 +275,7 @@ \chapter*{Introduction}

I am extremely grateful to Martijn Kluitenberg for his careful reading of the notes and his invaluable suggestions, comments and corrections, and to Bram Brongers\footnote{You can also have a look at \href{https://fse.studenttheses.ub.rug.nl/25344/}{his bachelor thesis} to learn more about some interesting advanced topics in differential geometry.} for his comments, corrections and the appendices that he contributed to these notes.

Many thanks also to the following people for their comments and for reporting a number of misprints and corrections: Wojtek Anyszka, Bhavya Bhikha, Huub Bouwkamp, Daniel Cortlid, Harry Crane, Anna de Bruijn, Remko de Jong, Luuk de Ridder, Brian Elsinga, Mollie Jagoe Brown, Aron Karakai, Wietze Koops, Henrieke Krijgsheld, Mar\'ia Diaz Marrero, Levi Moes, Nicol\'as Moro, Magnus Petz, Jorian Pruim, Lisanne Sibma, Bo Tielman, Jesse van der Zeijden, Jordan van Ekelenburg, Hanneke van Harten, Martin Daan van IJcken, Marit van Straaten, Dave Verweg and Federico Zadra.
Many thanks also to the following people for their comments and for reporting a number of misprints and corrections: Wojtek Anyszka, Bhavya Bhikha, Huub Bouwkamp, Daniel Cortlid, Harry Crane, Anna de Bruijn, Remko de Jong, Luuk de Ridder, Brian Elsinga, Mollie Jagoe Brown, Aron Karakai, Wietze Koops, Henrieke Krijgsheld, Valeriy Malikov, Mar\'ia Diaz Marrero, Levi Moes, Nicol\'as Moro, Magnus Petz, Jorian Pruim, Lisanne Sibma, Bo Tielman, Jesse van der Zeijden, Jordan van Ekelenburg, Hanneke van Harten, Martin Daan van IJcken, Marit van Straaten, Dave Verweg and Federico Zadra.

\mainmatter

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