edu.stanford.math.plex4.examples

Class DeSilvaMorozovJohanssonExample<R>

java.lang.Object

edu.stanford.math.plex4.examples.DeSilvaMorozovJohanssonExample<R>

Type Parameters:

R -

public class DeSilvaMorozovJohanssonExample<R>
extends java.lang.Object

This class contains the cell complex example contained in the paper "Dualities in persistent (co)homology" by Vin de Silva, Dmitriy Morozov and Mikael Vejdemo-Johansson.

Author:

Andrew Tausz

Constructor Summary

Constructors

Constructor and Description
DeSilvaMorozovJohanssonExample(edu.stanford.math.primitivelib.autogen.algebraic.ObjectAbstractField<R> field) This constructor initializes the class with the specified field.

Method Summary

Methods

Modifier and Type	Method and Description
AnnotatedBarcodeCollection<java.lang.Integer,edu.stanford.math.primitivelib.autogen.formal_sum.ObjectSparseFormalSum<R,Cell>>	getAbsoluteCohomologyBarcodes() This function returns the correct absolute cohomology barcodes along with the generators.
AnnotatedBarcodeCollection<java.lang.Integer,edu.stanford.math.primitivelib.autogen.formal_sum.ObjectSparseFormalSum<R,Cell>>	getAbsoluteHomologyBarcodes() This function returns the correct absolute homology barcodes along with the generators.
ExplicitCellStream	getCellComplex() This function returns the cell complex.
AnnotatedBarcodeCollection<java.lang.Integer,edu.stanford.math.primitivelib.autogen.formal_sum.ObjectSparseFormalSum<R,Cell>>	getRelativeCohomologyBarcodes() This function returns the correct relative cohomology barcodes along with the generators.
AnnotatedBarcodeCollection<java.lang.Integer,edu.stanford.math.primitivelib.autogen.formal_sum.ObjectSparseFormalSum<R,Cell>>	getRelativeHomologyBarcodes() This function returns the correct relative homology barcodes along with the generators.

Methods inherited from class java.lang.Object

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

Constructor Detail

DeSilvaMorozovJohanssonExample

public DeSilvaMorozovJohanssonExample(edu.stanford.math.primitivelib.autogen.algebraic.ObjectAbstractField<R> field)

This constructor initializes the class with the specified field.

Parameters:

field - the field over which to perform the algebraic operations

Method Detail

getCellComplex

public ExplicitCellStream getCellComplex()

This function returns the cell complex.

Returns:

the cell complex of the example

getAbsoluteHomologyBarcodes

public AnnotatedBarcodeCollection<java.lang.Integer,edu.stanford.math.primitivelib.autogen.formal_sum.ObjectSparseFormalSum<R,Cell>> getAbsoluteHomologyBarcodes()

This function returns the correct absolute homology barcodes along with the generators.

Returns:

the barcodes and generators for absolute homology

getRelativeHomologyBarcodes

public AnnotatedBarcodeCollection<java.lang.Integer,edu.stanford.math.primitivelib.autogen.formal_sum.ObjectSparseFormalSum<R,Cell>> getRelativeHomologyBarcodes()

This function returns the correct relative homology barcodes along with the generators.

Returns:

the barcodes and generators for relative homology

getAbsoluteCohomologyBarcodes

public AnnotatedBarcodeCollection<java.lang.Integer,edu.stanford.math.primitivelib.autogen.formal_sum.ObjectSparseFormalSum<R,Cell>> getAbsoluteCohomologyBarcodes()

This function returns the correct absolute cohomology barcodes along with the generators.

Returns:

the barcodes and generators for absolute cohomology

getRelativeCohomologyBarcodes

public AnnotatedBarcodeCollection<java.lang.Integer,edu.stanford.math.primitivelib.autogen.formal_sum.ObjectSparseFormalSum<R,Cell>> getRelativeCohomologyBarcodes()

This function returns the correct relative cohomology barcodes along with the generators.

Returns:

the barcodes and generators for relative cohomology