| Version current |
Version 8 |
| \begin{definition} A \emph{supergroupoid} $(\mathcal{G},\gamma)$ is a groupoid $\mathcal{G}$ equipped with |
\begin{definition} A \emph{supergroupoid} $(\mathcal{G},\gamma)$ is a groupoid $\mathcal{G}$ equipped with |
| an \emph{involutive automorphism} $\gamma : Id \mathcal{G} \to Id \mathcal{G}$, that is, |
an \emph{involutive automorphism} $\gamma : Id \mathcal{G} \to Id \mathcal{G}$, that is, |
| $$\gamma \circ \gamma = Id \circ Id \mathcal{G}.$$ |
$$\gamma \circ \gamma = Id \circ Id \mathcal{G}.$$ |
|
\end{definition}
|
\end{definition}.
|
|
|
| \begin{thebibliography}{9} |
\begin{thebibliography}{9} |
| \bibitem{JB2k6} |
\bibitem{JB2k6} |
| Baez, J. 2006., |
Baez, J. 2006., |
| \PMlinkexternal{Categorified Gelfand-Naimark and Vector Bundles with Connection |
\PMlinkexternal{Categorified Gelfand-Naimark and Vector Bundles with Connection |
| }{http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.html} |
}{http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.html} |
| (Preprint). |
(Preprint). |
| \end{thebibliography} |
\end{thebibliography} |
|
|
|
|
| \textbf{Remark:} |
\textbf{Remark:} |
| A supergroupoid is a particular example of a $``N=1''$ supercategory with all |
A supergroupoid is a particular example of a $``N=1''$ supercategory with all |
| invertible morphisms and an involutive automorphism $\gamma$. |
invertible morphisms and an involutive automorphism $\gamma$. |
