English

An elementary illustrated introduction to simplicial sets

Algebraic Topology 2023-06-12 v8 Category Theory Geometric Topology

Abstract

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.

Keywords

Cite

@article{arxiv.0809.4221,
  title  = {An elementary illustrated introduction to simplicial sets},
  author = {Greg Friedman},
  journal= {arXiv preprint arXiv:0809.4221},
  year   = {2023}
}

Comments

Several minor errata corrected since published version. A list of changes is provided at the end of the document

R2 v1 2026-06-21T11:23:48.023Z