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2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory object of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeAug 25th 2021
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexStarted something here. <a href="https://ncatlab.org/nlab/revision/%281%2C2%29-topos/1">v1</a>, <a href="https://ncatlab.org/nlab/show/%281%2C2%29-topos">current</a>

   Started something here.

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorUrs
   • CommentTimeAug 25th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexI have touched the wording and formatting a little, for the sake of clarity. But check if you agree. <a href="https://ncatlab.org/nlab/revision/diff/%281%2C2%29-topos/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/%281%2C2%29-topos/2">v2</a>, <a href="https://ncatlab.org/nlab/show/%281%2C2%29-topos">current</a>

   I have touched the wording and formatting a little, for the sake of clarity. But check if you agree.

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeAug 25th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe blunt use of "monic fibrations of posets" is still a little harsh on the reader, I find. Maybe better to point to some explanation, something like [p. 31 here](https://www.andrew.cmu.edu/course/80-413-713/notes/chap09.pdf#page=31) maybe.

   The blunt use of “monic fibrations of posets” is still a little harsh on the reader, I find. Maybe better to point to some explanation, something like p. 31 here maybe.

4. • CommentRowNumber4.
   • CommentAuthorDavid_Corfield
   • CommentTimeAug 25th 2021
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexThanks. Presumably there's a generality to the monic fibration classifier idea, in that every (1,2)-topos should have one.

   Thanks.

   Presumably there’s a generality to the monic fibration classifier idea, in that every (1,2)-topos should have one.

5. • CommentRowNumber5.
   • CommentAuthorUrs
   • CommentTimeAug 25th 2021
   • PermaLink
   Author: Urs
   Format: MarkdownItexYes, the entry should make clearer that there is no actual theory of (1,2)-toposes yet. I have further adjusted wording in this regard, throwing in some more "should"s. <a href="https://ncatlab.org/nlab/revision/diff/%281%2C2%29-topos/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/%281%2C2%29-topos/2">v2</a>, <a href="https://ncatlab.org/nlab/show/%281%2C2%29-topos">current</a>

   Yes, the entry should make clearer that there is no actual theory of (1,2)-toposes yet. I have further adjusted wording in this regard, throwing in some more “should”s.

   diff, v2, current