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arXiv:0809.4221math.AT

An elementary illustrated introduction to simplicial sets

Greg Friedman

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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.

arXiv comments
Several minor errata corrected since published version. A list of changes is provided at the end of the document
Journal reference
Rocky Mountain J. Math. 42 (2012), no. 2, 353-423
DOI
Subjects
math.ATAlgebraic Topology math.CTCategory Theory math.GTGeometric Topology

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