main.tex

\documentclass[final]{phduio} % Bruk [colophon] for å lage cover-print. Use [final] for printing. Den står i motsetning til [draft], som tilsynelatende er standard i klassen phduio.

\usepackage{phdstyle}   % Custom style
\usepackage{kantlipsum} % Dummy text

\author{Rune Vegard Skullerud Fjellbo}
\title{Non-singular simplicial sets}
\department{Department of Mathematics}
\faculty{The Faculty of Mathematics and Natural Sciences}

\affiliation
{
    University of Oslo
    % \and
    % Optional Further Specification
}
\ISSN{1234-5678}
\dissertationseries{1234}



\includeonly
{
    chapters/abstract,
    chapters/dedication,
    % chapters/declaration,
    chapters/acknowledgements,
    chapters/reader,
    chapters/introduction,
    chapters/itdesing,
    chapters/exponentials,
    chapters/model,
    chapters/technical,
    chapters/htythy,
    chapters/optriang,
    chapters/cofibrantobj,
    % chapters/appendixA,
    % chapters/appendixB,
}

\begin{document}

    \frontmatter        % Folios in Roman numerals, unnumbered chapters.
    
    \uiotitle
    

    % \include{chapters/abstract}
    \include{chapters/dedication}
    % \include{chapters/declaration}
    \include{chapters/acknowledgements}
    \include{chapters/reader}

    \cleartorecto
    \tableofcontents    % Or \tableofcontents*
    \cleartorecto
    \listoffigures
    \cleartorecto
    \listoftables
    

    \mainmatter         % Folios in Arabic numerals, numbered chapters.
    
    % How should I organize the thesis? There is publishable and non-publishable
    % material. Moreover, it would be convenient if each publishable result is
    % a chapter in this project
    % with an abstract, introduction and so on, as usual. This chapter should be
    % the main chapter of a part. Then it is possible to supplement the chapter with
    % extra details, formal reasoning, examples and non-examples, etc. However,
    % the chapters that are articles will be long, probably longer than most.
    % Thus they should probably be subdivided into sections. I should test how this
    % can be done, technically. The problem is that I do not yet know which chapters
    % will be the articles. This is maybe a good reason to give the chapters
    % descriptive names for myself, but the chapters should still have numbers
    % that are not related to the subdivision into parts.

    \include{chapters/introduction}

	% Behavior of desingularization in the presence of various colimits, properties
	% of the category of non-singular simplicial sets, including the construction
	% of simplicial mappings sets. Formalities regarding reflective subcategories,
	% locally presentable categories, etc.
    \part{Desingularization}

    \include{chapters/itdesing}
    \include{chapters/exponentials}

    % 'Finding' a homotopy inverse of the inclusion of non-singular simplicial
    % sets into simplicial sets. The unit is a weak homotopy equivalence, and
    % verification of the model structure.
    \part{A Thomason model structure on non-singular simplicial sets}
    
    \include{chapters/model}
    \include{chapters/technical}
    \include{chapters/htythy}
    
    % Cofibrant objects? How this question leads to an optimal triangulation
    % of regular simplicial sets.
    \part{Making simplicial sets non-singular} % Alternative title: The improvement functor is not an ad hoc construction.
    
    \include{chapters/optriang}
    
    \include{chapters/cofibrantobj}
    
    
    % \appendix           % "Chapter" is renamed "Appendix"
    % \appendixpage       % Short for \part*{Appendices}

    % \include{chapters/appendixA}
    % \include{chapters/appendixB}

    \backmatter         % Folios in Arabic numerals, unnumbered chapters.

    \printbibliography

\end{document}