edu.stanford.math.plex4.examples

Class CellStreamExamples

java.lang.Object

edu.stanford.math.plex4.examples.CellStreamExamples

public class CellStreamExamples
extends java.lang.Object

This class contains various static functions for producing cell complexes.

Author:

Andrew Tausz

Constructor Summary

Constructors

Constructor and Description
CellStreamExamples()

Method Summary

Methods

Modifier and Type	Method and Description
static ExplicitCellStream	getCellularKleinBottle() This function returns a cellular Klein bottle.
static ExplicitCellStream	getCellularMobiusBand() This function returns a cell decomposition of the Mobius band.
static ExplicitCellStream	getCellularRP2() This function returns a cell decomposition of RP^2 (the real projective plane).
static ExplicitCellStream	getCellularSphere(int dimension) This function returns a cell decomposition of the n-sphere.
static ExplicitCellStream	getCellularTorus() This function returns a static cell complex containing a torus.
static ExplicitCellStream	getMorozovJohanssonExample() This function returns the filtered cell complex which is the running example in the paper "Dualities in Persistent (Co)homology" by de Silva, Morozov and Johansson.

Methods inherited from class java.lang.Object

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

Constructor Detail

CellStreamExamples

public CellStreamExamples()

Method Detail

getMorozovJohanssonExample

public static ExplicitCellStream getMorozovJohanssonExample()

This function returns the filtered cell complex which is the running example in the paper "Dualities in Persistent (Co)homology" by de Silva, Morozov and Johansson.

Returns:

a filtered cell stream

getCellularSphere

public static ExplicitCellStream getCellularSphere(int dimension)

This function returns a cell decomposition of the n-sphere. The decomposition contains 1 n-cell with its boundary glued to a single point.

Parameters:

dimension - the dimension of the sphere to produce

Returns:

a cellular sphere of the specified dimension

getCellularTorus

public static ExplicitCellStream getCellularTorus()

This function returns a static cell complex containing a torus.

Returns:

a cellular torus

getCellularKleinBottle

public static ExplicitCellStream getCellularKleinBottle()

This function returns a cellular Klein bottle.

Returns:

a cellular Klein bottle

getCellularRP2

public static ExplicitCellStream getCellularRP2()

This function returns a cell decomposition of RP^2 (the real projective plane).

Returns:

a cellular RP^2

getCellularMobiusBand

public static ExplicitCellStream getCellularMobiusBand()

This function returns a cell decomposition of the Mobius band.

Returns:

a cellular mobius band