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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 nforum nlab noncommutative noncommutative-geometry number-theory 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.
   • CommentAuthorStephan A Spahn
   • CommentTimeMay 12th 2012
   • (edited May 12th 2012)
   • PermaLink
   Author: Stephan A Spahn
   Format: MarkdownItexIn [[proposition]] in the subsection [in category theoretic logic](http://ncatlab.org/nlab/show/proposition#in_categorytheoretic_logic_10) a _proposition in context_ $\Gamma$ is declared to be a $M$-subobject of $\Gamma$ where $M$ is a [[class of monomorphisms]] - but the latter link is grey probably indicating that this class shall satisfy some (closure-)properties. In this section it says the class $M$ often is chosen to be just that of all monomorphisms, which other choices do occur in the literature?

   In proposition in the subsection in category theoretic logic a proposition in context $\Gamma$ is declared to be a $M$-subobject of $\Gamma$ where $M$ is a class of monomorphisms - but the latter link is grey probably indicating that this class shall satisfy some (closure-)properties.

   In this section it says the class $M$ often is chosen to be just that of all monomorphisms, which other choices do occur in the literature?

2. • CommentRowNumber2.
   • CommentAuthorMike Shulman
   • CommentTimeMay 13th 2012
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexIn a [[quasitopos]], one sometimes takes the class of [[strong monomorphisms]] (which there coincide with the regular ones).

   In a quasitopos, one sometimes takes the class of strong monomorphisms (which there coincide with the regular ones).

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeNov 2nd 2014
   • PermaLink
   Author: Urs
   Format: MarkdownItexThe entry _[[proposition]]_ had no pointer back to anything type-theoretic. I have added a brief [paragraph](http://ncatlab.org/nlab/show/proposition#InTypeTheory).

   The entry proposition had no pointer back to anything type-theoretic. I have added a brief paragraph.