abstract_simplicial_complex

Compute Euler characteristic for an abstract simplicial complex

Provides an implementation of simplicial complexes for
Topological Data Analysis (TDA). The package includes functions to
compute faces, boundary operators, Betti numbers, Euler characteristic,
and to construct simplicial complexes. It also implements persistent
homology, from building filtrations to computing persistence diagrams,
with the aim of helping readers understand the core concepts of
computational topology.
Methods are based on standard references in persistent homology such as
Zomorodian and Carlsson (2005) <doi:10.1007/s00454-004-1146-y> and
Chazal and Michel (2021) <doi:10.3389/frai.2021.667963>.

ChiChien Wang

SimplicialComplex

Topological Data Analysis: Simplicial Complex

abstract_simplicial_complex function

<dl><dt>simplices</dt>
<dd>A list of simplices (each a numeric vector).</dd>
<dt>dimension</dt>
<dd>Optional max dimension to compute up to.</dd>
<dt>tol</dt>
<dd>Optional numerical tolerance to pass to <code>rankMatrix()</code>.</dd></dl>

Arguments

Compute Euler characteristic for an abstract simplicial complex — abstract_simplicial_complex

<dl>

<dt>simplices</dt>
<dd>A list of simplices (each a numeric vector).</dd>


<dt>dimension</dt>
<dd>Optional max dimension to compute up to.</dd>


<dt>tol</dt>
<dd>Optional numerical tolerance to pass to <code>rankMatrix()</code>.</dd>

</dl>

abstract_simplicial_complex: Compute Euler characteristic for an abstract simplicial complex

Description

Usage

Value

Arguments

Examples