edu.stanford.math.plex4.examples

Class SimplicialComplexOperations

java.lang.Object

edu.stanford.math.plex4.examples.SimplicialComplexOperations

public class SimplicialComplexOperations
extends java.lang.Object

This class contains various functions for creating new simplicial complexes out of old ones.

Author:

Andrew Tausz

Constructor Summary

Constructors

Constructor and Description
SimplicialComplexOperations()

Method Summary

Methods

Modifier and Type	Method and Description
static AbstractFilteredStream<Simplex>	computeCone(AbstractFilteredStream<Simplex> simplexStream, int vertexFiltrationIndex) This function computes the cone of a given filtered simplicial complex.
static AbstractFilteredStream<Simplex>	computeDisjointUnion(AbstractFilteredStream<Simplex> stream1, AbstractFilteredStream<Simplex> stream2) This function computes the disjoint union of two filtered simplicial complex.
static AbstractFilteredStream<Simplex>	computeSuspension(AbstractFilteredStream<Simplex> simplexStream, int vertexFiltrationIndex) This function computes the suspension of a given filtered simplicial complex.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Constructor Detail

SimplicialComplexOperations

public SimplicialComplexOperations()

Method Detail

computeCone

public static AbstractFilteredStream<Simplex> computeCone(AbstractFilteredStream<Simplex> simplexStream,
                                          int vertexFiltrationIndex)

This function computes the cone of a given filtered simplicial complex.

Parameters:

simplexStream - the simplicial complex to compute the cone of

vertexFiltrationIndex - the filtration index of the vertex point of the cone

Returns:

the cone of the simplicial complex

computeSuspension

public static AbstractFilteredStream<Simplex> computeSuspension(AbstractFilteredStream<Simplex> simplexStream,
                                                int vertexFiltrationIndex)

This function computes the suspension of a given filtered simplicial complex.

Parameters:

simplexStream - the simplicial complex to compute the suspension of

vertexFiltrationIndex - the filtration index of the two newly added vertices

Returns:

the suspension of the given simplicial complex

computeDisjointUnion

public static AbstractFilteredStream<Simplex> computeDisjointUnion(AbstractFilteredStream<Simplex> stream1,
                                                   AbstractFilteredStream<Simplex> stream2)

This function computes the disjoint union of two filtered simplicial complex.

Parameters:

stream1 - the first simplicial complex

stream2 - the second simplicial complex

Returns:

the disjoint union of the two simplicial complexes