\section{Vague thoughts about varieties}




\begin{bibdiv}
\begin{biblist}


\bib{aw3}{article}{
    author = {Antieau, Benjamin},
    author = {Williams, Ben},
    title = {The topological period-index problem for $6$-complexes},
    journal = {J. Top.},
    eprint = {http://arxiv.org/abs/1208.4430},
    note = {To appear.}
}

\bib{aw4}{article}{
    author = {Antieau, Benjamin},
    author = {Williams, Ben},
    title = {Unramified division algebras do not always contain Azumaya maximal orders},
    journal = {Inv. Math.},
    eprint = {http://dx.doi.org/doi:10.1007/s00222-013-0479-7},
    year = {2013},
}





\bib{bott}{article}{
    author={Bott, Raoul},
    title={The space of loops on a Lie group},
    journal={Michigan Math. J.},
    volume={5},
    date={1958},
    pages={35--61},
    issn={0026-2285},
}


\bib{cadek-vanzura}{article}{
    author={\v{C}adek, Martin},
    author={Van{\v{z}}ura, Ji{\v{r}}{\'{\i}}},
    title={On the classification of oriented vector bundles over $5$-complexes},
    journal={Czechoslovak Math. J.},
    volume={43(118)},
    date={1993},
    number={4},
    pages={753--764},
    issn={0011-4642},
    eprint={http://www.math.muni.cz/~cadek/list.html},
}






\bib{dold-whitney}{article}{
    author={Dold, A.},
    author={Whitney, H.},
    title={Classification of oriented sphere bundles over a $4$-complex},
    journal={Ann. Math.},
    date={1959},
    volume={69},
    pages={667--677},
}












\bib{serre}{article}{
    author={Serre, Jean-Pierre},
    title={Cohomologie modulo $2$ des complexes d'Eilenberg-MacLane},
    journal={Comment. Math. Helv.},
    volume={27},
    date={1953},
    pages={198--232},
    issn={0010-2571},
}





\bib{woodward}{article}{
    author={Woodward, L. M.},
    title={The classification of principal ${\rm PU}_{n}$-bundles over a $4$-complex},
    journal={J. London Math. Soc. (2)},
    volume={25},
    date={1982},
    number={3},
    pages={513--524},
    issn={0024-6107},
}

\bib{woodward-orientable}{article}{
    author={Woodward, L. M.},
    title={The classification of orientable vector bundles over CW-complexes
    of small dimension},
    journal={Proc. Roy. Soc. Edinburgh Sect. A},
    volume={92},
    date={1982},
    number={3-4},
    pages={175--179},
    issn={0308-2105},
}

\end{biblist}
\end{bibdiv}




\end{document}
