<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>ChainComplexExtras -- More ChainComplex Functionality.</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_chain__Complex__Map.html">next</a> | previous | <a href="_chain__Complex__Map.html">forward</a> | backward | up | top | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>ChainComplexExtras -- More ChainComplex Functionality.</h1> <div><!--empty documentation body--></div> <div class="single"><h2>Authors</h2> <ul><li><div class="single"><a href="http://www.math.unl.edu/~s-wmoore3">Frank Moore</a><span> <<a href="mailto:fmoore@math.unl.edu">fmoore@math.unl.edu</a>></span></div> </li> <li><div class="single"><a href="http://www.mast.queensu.ca/~ggsmith">Greg Smith</a><span> <<a href="mailto:ggsmith@mast.queensu.ca">ggsmith@mast.queensu.ca</a>></span></div> </li> </ul> </div> <div class="single"><h2>Version</h2> This documentation describes version <b>0.5</b> of ChainComplexExtras.</div> <div class="single"><h2>Source code</h2> The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/ChainComplexExtras.m2">ChainComplexExtras.m2</a>.</div> <div class="single"><h2>Exports</h2> <ul><li><div class="single">Functions<ul><li><span><a href="_chain__Complex__Map.html" title="Defines a ChainComplexMap via a list of matrices.">chainComplexMap</a> -- Defines a ChainComplexMap via a list of matrices.</span></li> <li><span><a href="_is__Chain__Complex.html" title="Test to see if the ChainComplex has square zero differential.">isChainComplex</a> -- Test to see if the ChainComplex has square zero differential.</span></li> <li><span><a href="_is__Chain__Complex__Map.html" title="Test to see if the ChainComplexMap commutes with the differentials.">isChainComplexMap</a> -- Test to see if the ChainComplexMap commutes with the differentials.</span></li> <li><span><a href="_is__Exact.html" title="Test to see if the ChainComplex is exact.">isExact</a> -- Test to see if the ChainComplex is exact.</span></li> <li><span><a href="_is__Quism.html" title="Test to see if the ChainComplexMap is a quasiisomorphism.">isQuism</a> -- Test to see if the ChainComplexMap is a quasiisomorphism.</span></li> <li><span><a href="_koszul__Complex.html" title="Gives the Koszul complex on the generators of I.">koszulComplex</a> -- Gives the Koszul complex on the generators of I.</span></li> <li><span><a href="_taylor.html" title="Gives the nth differential in the Taylor resolution of a monomial ideal I.">taylor</a> -- Gives the nth differential in the Taylor resolution of a monomial ideal I.</span></li> <li><span><a href="_taylor__Resolution.html" title="Gives the Taylor resolution of a monomial ideal I.">taylorResolution</a> -- Gives the Taylor resolution of a monomial ideal I.</span></li> </ul> </div> </li> <li><div class="single">Symbols<ul><li><span><a href="___Initial__Degree.html" title="Used to specify an initial degree for chainComplexMap.">InitialDegree</a> -- Used to specify an initial degree for chainComplexMap.</span></li> </ul> </div> </li> </ul> </div> </div> </body> </html>