190923 Chazal, Frederic 2017¶

Original | [Mendeley]

Contents¶

• 01. Introduction and motivation
• [02. Metric spaces, covers and simplical complexes][02]
  • [02.01. Metric spaces][0201]
  • [02.02. Geometric and abstract simplical complexs][0202]
  • [02.03. Building simplicial complexes from data][0203]
  • [02.04. The nerve theorem][0204]

01. Introduction and motivation¶

02. Metric spaces, covers and simplical complexes¶

02.01. Metric spaces¶

02.02. Geometric and abstract simplical complexs¶

$\mathbb{X} = \{x_0, \cdots, x_k\} \subset \mathbb{R}^d$

$k$-dimensional simplex

geometric simolical complex $K$ in $\mathbb{R}^d$

02.03. Building simplicial complexes from data¶

02.04. The nerve theorem¶

¶