Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

• Username
• Password
• Remember me

• Sign in using OpenID
• Remember me

• Forgot your password?
• Apply for membership

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 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 internal-categories k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure 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 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.
   • CommentAuthorUrs
   • CommentTimeJul 12th 2019
   • (edited Jul 12th 2019)
   • PermaLink
   Author: Urs
   Format: MarkdownItexstarted a minimum, so far just in order to give a home to today's * [[Nicola Gambino]], [[Christian Sattler]], [[Karol Szumiło]], _The constructive Kan-Quillen model structure: two new proofs_ ([arXiv:1907.05394](https://arxiv.org/abs/1907.05394)) <a href="https://ncatlab.org/nlab/revision/constructive+model+structure+on+simplicial+sets/1">v1</a>, <a href="https://ncatlab.org/nlab/show/constructive+model+structure+on+simplicial+sets">current</a>

   started a minimum, so far just in order to give a home to today’s

   • Nicola Gambino, Christian Sattler, Karol Szumiło, The constructive Kan-Quillen model structure: two new proofs (arXiv:1907.05394)

   v1, current

2. • CommentRowNumber2.
   • CommentAuthorDmitri Pavlov
   • CommentTimeJul 12th 2019
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded remarks about cofibrant objects, cofibrations, and properness. <a href="https://ncatlab.org/nlab/revision/diff/constructive+model+structure+on+simplicial+sets/2">diff</a>, <a href="https://ncatlab.org/nlab/revision/constructive+model+structure+on+simplicial+sets/2">v2</a>, <a href="https://ncatlab.org/nlab/show/constructive+model+structure+on+simplicial+sets">current</a>

   Added remarks about cofibrant objects, cofibrations, and properness.

   diff, v2, current

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeJul 15th 2019
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded pointer also to * [[Simon Henry]], _Weak model categories in classical and constructive mathematics_ ([arXiv:1807.02650](https://arxiv.org/abs/1807.02650)) * [[Nicola Gambino]], [[Simon Henry]], _Towards a constructive simplicial model of Univalent Foundations_ ([arXiv:1905.06281](https://arxiv.org/abs/1905.06281)) <a href="https://ncatlab.org/nlab/revision/diff/constructive+model+structure+on+simplicial+sets/4">diff</a>, <a href="https://ncatlab.org/nlab/revision/constructive+model+structure+on+simplicial+sets/4">v4</a>, <a href="https://ncatlab.org/nlab/show/constructive+model+structure+on+simplicial+sets">current</a>

   added pointer also to

   • Simon Henry, Weak model categories in classical and constructive mathematics (arXiv:1807.02650)

   • Nicola Gambino, Simon Henry, Towards a constructive simplicial model of Univalent Foundations (arXiv:1905.06281)

   diff, v4, current

4. • CommentRowNumber4.
   • CommentAuthorDmitri Pavlov
   • CommentTimeApr 13th 2020
   • PermaLink
   Author: Dmitri Pavlov
   Format: MarkdownItexAdded more details about various classes of maps, including fibrations and weak equivalences. <a href="https://ncatlab.org/nlab/revision/diff/constructive+model+structure+on+simplicial+sets/5">diff</a>, <a href="https://ncatlab.org/nlab/revision/constructive+model+structure+on+simplicial+sets/5">v5</a>, <a href="https://ncatlab.org/nlab/show/constructive+model+structure+on+simplicial+sets">current</a>

   Added more details about various classes of maps, including fibrations and weak equivalences.

   diff, v5, current

5. • CommentRowNumber5.
   • CommentAuthorChristian Sattler
   • CommentTimeOct 12th 2022
   • PermaLink
   Author: Christian Sattler
   Format: MarkdownItexClarify definitions of weak equivalences in GambinoSattlerSzumilo19. <a href="https://ncatlab.org/nlab/revision/diff/constructive+model+structure+on+simplicial+sets/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/constructive+model+structure+on+simplicial+sets/7">v7</a>, <a href="https://ncatlab.org/nlab/show/constructive+model+structure+on+simplicial+sets">current</a>

   Clarify definitions of weak equivalences in GambinoSattlerSzumilo19.

   diff, v7, current