14 Simplicial Methods
Chapter 14 of the Stacks Project, Simplicial Methods, Tag 0162: the 32 sections of its 34 with a tag that a declaration carries, one article each, in the Stacks Project's order. Their 162 tags are carried by 158 declarations of the repository (all in StacksFrontier) and 49 registered declarations.
14.2 The category of finite… to 14.22 Simplicial objects in…
- 14.2 The category of finite ordered sets
- 14.3 Simplicial objects
- 14.4 Simplicial objects as presheaves
- 14.5 Cosimplicial objects
- 14.6 Products of simplicial objects
- 14.7 Fibre products of simplicial objects
- 14.8 Pushouts of simplicial objects
- 14.9 Products of cosimplicial objects
- 14.10 Fibre products of cosimplicial objects
- 14.11 Simplicial sets
- 14.12 Truncated simplicial objects and skeleton functors
- 14.13 Products with simplicial sets
- 14.14 Hom from simplicial sets into cosimplicial objects
- 14.15 Hom from cosimplicial sets into simplicial objects
- 14.17 Hom from simplicial sets into simplicial objects
- 14.18 Splitting simplicial objects
- 14.19 Coskeleton functors
- 14.20 Augmentations
- 14.21 Left adjoints to the skeleton functors
- 14.22 Simplicial objects in abelian categories
14.23 Simplicial objects and… to 14.34 Standard resolutions
- 14.23 Simplicial objects and chain complexes
- 14.24 Dold-Kan
- 14.25 Dold-Kan for cosimplicial objects
- 14.26 Homotopies
- 14.27 Homotopies in abelian categories
- 14.28 Homotopies and cosimplicial objects
- 14.29 More homotopies in abelian categories
- 14.30 Trivial Kan fibrations
- 14.31 Kan fibrations
- 14.32 A homotopy equivalence
- 14.33 Preparation for standard resolutions
- 14.34 Standard resolutions
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