<?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>homology -- general homology functor</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_homology_lp__Matrix_cm__Matrix_rp.html">next</a> | <a href="_homogenize.html">previous</a> | <a href="_homology_lp__Matrix_cm__Matrix_rp.html">forward</a> | <a href="_homogenize.html">backward</a> | up | <a href="index.html">top</a> | <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>homology -- general homology functor</h1> <div class="single"><h2>Description</h2> <div>Most applications of this functor are dispatched through <tt>HH</tt>. If it is intended that <tt>i</tt> be of class <a href="___Z__Z.html" title="the class of all integers">ZZ</a>, <tt>M</tt> be of class <tt>A</tt>, and <tt>N</tt> be of class <tt>B</tt>, then the method for computing <tt>HH_i(M,N)</tt> can be installed with code of the following form.<pre> homology(ZZ, A, B) := opts -> (i,M,N) -> ...</pre> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_cohomology.html" title="general cohomology functor">cohomology</a> -- general cohomology functor</span></li> <li><span><a href="___H__H.html" title="general homology and cohomology functor">HH</a> -- general homology and cohomology functor</span></li> <li><span><a href="___Scripted__Functor.html" title="the class of all scripted functors">ScriptedFunctor</a> -- the class of all scripted functors</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>homology</tt> :</h2> <ul><li><span><a href="___H__H_sp__Chain__Complex.html" title="homology of a chain complex">HH ChainComplex</a> -- homology of a chain complex</span></li> <li><span><a href="___H__H_sp__Chain__Complex__Map.html" title="homology of a chain complex map">HH ChainComplexMap</a> -- homology of a chain complex map</span></li> <li><span><a href="___H__H_us__Z__Z_sp__Chain__Complex.html" title="homology of a chain complex">HH_ZZ ChainComplex</a> -- homology of a chain complex</span></li> <li><span><a href="___H__H_us__Z__Z_sp__Chain__Complex__Map.html" title="homology of a chain complex map">HH_ZZ ChainComplexMap</a> -- homology of a chain complex map</span></li> <li><span><a href="___H__H_us__Z__Z_sp__Sequence.html" title="">HH_ZZ Sequence</a></span></li> <li><span><a href="_homology_lp__Matrix_cm__Matrix_rp.html" title="homology of a pair of maps">homology(Matrix,Matrix)</a> -- homology of a pair of maps</span></li> </ul> </div> </div> </body> </html>