nLab (0,1)-topos

(0,1)-category

(0,1)-topos

Theorems

Topos Theory

Could not include topos theory - contents

Contents

Idea

The notion of $(0,1)$-topos is that of topos in the context of (0,1)-category theory.

The notion of $(0,1)$-topos is essentially equivalent to that of Heyting algebra; similarly, a Grothendieck $(0,1)$-topos is a locale.

Notice that every $(1,1)$-Grothendieck topos comes from a localic groupoid, i.e. a groupoid internal to locales, hence a groupoid internal to $(0,1)$-toposes. See classifying topos of a localic groupoid for more.

References

section 6.4.2 of

.

Revised on November 27, 2012 11:01:19 by Urs Schreiber (82.169.65.155)