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An elementary illustrated introduction to simplicial sets

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arxiv 0809.4221 v8 pith:YB2Y4FQF submitted 2008-09-24 math.AT math.CTmath.GT

Greg Friedman This is my paper · ORCID
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keywords simplicialintroductionsetstheoryaccessiblealgebraicaspectscombinatorial
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This is an expository introduction to simplicial sets and simplicial homotopy theory with particular focus on relating the combinatorial aspects of the theory to their geometric/topological origins. It is intended to be accessible to students familiar with just the fundamentals of algebraic topology.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Possibilistic collapse and extremality of simplicial distributions

    math.CT 2026-07 accept novelty 6.5 of 10

    Strong connectivity of the support bundle (or a categorical analogue for event scenarios) is a sufficient condition for a simplicial distribution or empirical model to be extremal.

  2. Higher Superspace Supergravity and its IR-Completions

    hep-th 2026-07 conditional novelty 4.0 of 10

    11D supergravity, its toroidal reductions, and M5-brane worldvolume flux are equivalent to Bianchi identities in characteristic L∞-algebras (lS4, cyc(lS4), tor(lS4), lS4S7), whose IR completions are classified by flux...

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