Survey Article: An elementary illustrated introduction to simplicial sets

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UMAP: Uniform Manifold Approximation and Projection for Dimension Reduction (2018, background): “For more details on simplicial sets we refer the reader to [7] and [6].”
On the rigid cohomology of certain Shimura varieties (2014, background): “(For the definition of ‘delta set’, see, for instance, [25].”
Representation stability and finite linear groups (2014, background): “′ ∈ Xm is a face of a simplex σ ∈ Xn if σ′ is the image of σ under the map Xn → Xm induced by some map [m]+ → [n]+. The geometric realization of X is denoted |X|. For more on semisimplicial sets, see [Fri] (where they are called ∆-sets). Fix a semisimplicial set X. Observe that the set ⊔∞ n=0X n for”