nLab
simplex

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Context

Homotopy theory

Background

Variations

Definitions

Paths and cylinders

Homotopy groups

Theorems

Contents

Idea

The cellular simplex is one of the basic geometric shapes for higher structures.

Definition

For n∈ℕ, the standard simplicial n-simplex is the simplicial set which is represented (as a presheaf) by the object [n] in the simplex category.

Likewise, there is a standard toplogical n-simplex, which is (more or less by definition) the geometric realization of the standard simplicial n-simplex.

Properties

Relation to globes

The orientals related simplices to globes.

Revised on May 17, 2012 10:53:18 by Urs Schreiber (89.204.153.6)
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