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\begin{document}

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\section*{Topos Theory 1977}

\begin{quote}%
Incidentally, the reaction of one Cambridge colleague on learning that I'd appeared as a Dover reprint was `I didn't know you were dead'. Peter Johnstone\footnote{\href{http://comments.gmane.org/gmane.science.mathematics.categories/8044}{mail to catlist March 2014}.} 


\end{quote}
A short \textbf{review} of

\begin{itemize}%
\item [[Peter Johnstone|P. T. Johnstone]], \emph{Topos Theory} , Academic Press 1977 (Paperback edition: Dover reprint 2014). xxiii + 367 pages.

\end{itemize}
Peter Johnstone's classic text on [[topos theory]] from 1977 served until the publication of MacLane-Moerdijk's [[Sheaves in Geometry and Logic]] in 1992 and the monumental first two volumes of [[Sketches of an elephant]] in 2002 by the same author as the standard reference in the field that reportedly contained almost all results known in the mid 1970s.

Although the author takes no prisoners the text is not really as unreadable as the introduction to the [[Elephant]] boasts but contains in a concise form what still constitutes the core of the subject.

It has also several unique features in comparison with its successor volumes in that it offers (somewhat more opiniated) remarks on the \emph{historical development of topos theory} and an emphasis of the intuitionistic algebra and theory of spectrum prominent in the early 1970s, a chapter on \emph{cohomology theory} and due to the recent paperback reprint an affordable price.

\hypertarget{table_of_contents}{}\subsection*{{Table of contents}}\label{table_of_contents}

\begin{itemize}%
\item chap. 0. \emph{Preliminaries}
\item chap. 1. \emph{Elementary Toposes}
\item chap. 2. \emph{Internal Category Theory}
\item chap. 3. \emph{Topologies and Sheaves}
\item chap. 4. \emph{Geometric Morphisms}
\item chap. 5. \emph{Logical Aspects of Topos Theory}
\item chap. 6. \emph{Natural Number Objects}
\item chap. 7. \emph{Theorems of Deligne and Barr}
\item chap. 8. \emph{Cohomology}
\item chap. 9. \emph{Topos Theory and Set Theory}
\item Appendix \emph{Locally Internal Categories}

\end{itemize}
\hypertarget{references}{}\subsection*{{References}}\label{references}

\begin{itemize}%
\item [[Robert Seely]], \emph{Review, P. T. Johnstone, Topos Theory} , JSL \textbf{47} no.2 (1982) pp.448-450. (\href{www.math.mcgill.ca/rags/JSL/PTJ.pdf}{draft})

\end{itemize}
[[!redirects Johnstone Topos Theory]] [[!redirects Johnstone topos theory]]

category:reference



\end{document}