# Contents

## Idea

${𝔹}^{1}$-homotopy theory is the study of the localization of an (∞,1)-sheaf (∞,1)-category over a site of analytic spaces at morphisms ${𝔹}^{1}\to *$, where ${𝔹}^{1}\simeq \mathrm{Spm}\left(k\left\{t\right\}\right)$ is the Tate ball.

## References

• Joseph Ayoub, Motives of rigid varieties and the motivic nearby functor (pdf)
Created on January 3, 2012 19:51:19 by Urs Schreiber (89.204.130.224)