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It returns the <span class="SimpleMath" >n</span >-th boundary map of <span class="SimpleMath" >C</span > as a matrix.</p>strong class="button" >Examples:</strong > <span class="URL" ><a href="../tutorial/chap11.html" >1 </a></span > </p>"X7E6926C6850E7C4E" name="X7E6926C6850E7C4E" ></a></p>38 .1 -3 Dimension</h5>div class="func" ><table class="func" width="100%" ><tr ><td class="tdleft" ><code class="func" >&#an style='color: green'>8227; Dimension</code >( <var class="Arg" >C</var > )</td ><td class="tdright" >( function )</td ></tr ></table ></div >div class="func" ><table class="func" width="100%" ><tr ><td class="tdleft" ><code class="func" >&#an style='color: green'>8227; Dimension</code >( <var class="Arg" >M</var > )</td ><td class="tdright" >( function )</td ></tr ></table ></div >span class="SimpleMath" >C</span > and returns the function <span class="SimpleMath" >C!.dimension</span > .</p>span class="SimpleMath" >FpG</span >-module <span class="SimpleMath" >M</span > and returns its dimension as a vector space over the field of <span class="SimpleMath" >p</span > elements.</p>strong class="button" >Examples:</strong > <span class="URL" ><a href="../tutorial/chap3.html" >1 </a></span > , <span class="URL" ><a href="../tutorial/chap5.html" >2 </a></span > , <span class="URL" ><a href="../tutorial/chap7.html" >3 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoveringSpaces.html" >4 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoverinSpaces.html" >5 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutDefinitions.html" >6 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutTDA.html" >7 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutTopology.html" >8 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutLieCovers.html" >9 </a></span > </p>"X7AE270A381B40E6D" name="X7AE270A381B40E6D" ></a></p>38 .1 -4 EvaluateProperty</h5>div class="func" ><table class="func" width="100%" ><tr ><td class="tdleft" ><code class="func" >&#an style='color: green'>8227; EvaluateProperty</code >( <var class="Arg" >X</var >, <var class="Arg" >str</var > )</td ><td class="tdright" >( function )</td ></tr ></table ></div >object <span class="SimpleMath" >X</span > (such as a <span class="SimpleMath" >ZG</span >-resolution or chain map ) and a string <span class="SimpleMath" >str</span >="name" (such as "characteristic" or "type" ). It searches <span class="SimpleMath" >X.property</span > for the pair ["name" ,value] and returns value. If <span class="SimpleMath" >X.property</span > does not exist, or if ["name" ,value] does not exist, it returns fail.</p>strong class="button" >Examples:</strong ></p>"X7EDAA4E080F7DC03" name="X7EDAA4E080F7DC03" ></a></p>38 .1 -5 GroupOfResolution</h5>div class="func" ><table class="func" width="100%" ><tr ><td class="tdleft" ><code class="func" >&#an style='color: green'>8227; GroupOfResolution</code >( <var class="Arg" >R</var > )</td ><td class="tdright" >( function )</td ></tr ></table ></div >span class="SimpleMath" >ZG</span >-resolution <span class="SimpleMath" >R</span > and returns the group <span class="SimpleMath" >G</span >.</p>strong class="button" >Examples:</strong ></p>"X780769238600AFD1" name="X780769238600AFD1" ></a></p>38 .1 -6 Length</h5>div class="func" ><table class="func" width="100%" ><tr ><td class="tdleft" ><code class="func" >&#an style='color: green'>8227; Length</code >( <var class="Arg" >R</var > )</td ><td class="tdright" >( function )</td ></tr ></table ></div >span class="SimpleMath" >R</span > and returns its length (i.e. the number of terms of <span class="SimpleMath" >R</span > that HAP has computed).</p>strong class="button" >Examples:</strong > <span class="URL" ><a href="../tutorial/chap3.html" >1 </a></span > , <span class="URL" ><a href="../tutorial/chap4.html" >2 </a></span > , <span class="URL" ><a href="../tutorial/chap5.html" >3 </a></span > , <span class="URL" ><a href="../tutorial/chap6.html" >4 </a></span > , <span class="URL" ><a href="../tutorial/chap10.html" >5 </a></span > , <span class="URL" ><a href="../tutorial/chap12.html" >6 </a></span > , <span class="URL" ><a href="../tutorial/chap13.html" >7 </a></span > , <span class="URL" ><a href="../tutorial/chap14.html" >8 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutArithmetic.html" >9 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutBogomolov.html" >10 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutPerformance.html" >11 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoveringSpaces.html" >12 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoverinSpaces.html" >13 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutQuandles.html" >14 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutquasi.html" >15 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutRandomComplexes.html" >16 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutGouter.html" >17 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutTensorSquare.html" >18 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutTopology.html" >19 </a></span > </p>"X7FB5B44378CA318C" name="X7FB5B44378CA318C" ></a></p>38 .1 -7 Map </h5>div class="func" ><table class="func" width="100%" ><tr ><td class="tdleft" ><code class="func" >&#an style='color: green'>8227; Map </code >( <var class="Arg" >f</var > )</td ><td class="tdright" >( function )</td ></tr ></table ></div >map , or cochain map or equivariant chain map <span class="SimpleMath" >f</span > and returns the mapping function (as opposed to the target or the source of <span class="SimpleMath" >f</span >) .</p>strong class="button" >Examples:</strong > <span class="URL" ><a href="../tutorial/chap1.html" >1 </a></span > , <span class="URL" ><a href="../tutorial/chap2.html" >2 </a></span > , <span class="URL" ><a href="../tutorial/chap4.html" >3 </a></span > , <span class="URL" ><a href="../tutorial/chap5.html" >4 </a></span > , <span class="URL" ><a href="../tutorial/chap6.html" >5 </a></span > , <span class="URL" ><a href="../tutorial/chap7.html" >6 </a></span > , <span class="URL" ><a href="../tutorial/chap10.html" >7 </a></span > , <span class="URL" ><a href="../tutorial/chap13.html" >8 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutAbelianCategories.html" >9 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoefficientSequence.html" >10 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCohomologyRings.html" >11 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutPoincareSeries.html" >12 </a></span > , <span class="URL" "../www/SideLinks/About/aboutCoveringSpaces.html" >13 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoverinSpaces.html" >14 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutFunctorial.html" >15 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutGouter.html" >16 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutTopology.html" >17 </a></span > </p>"X7DE8173F80E07AB1" name="X7DE8173F80E07AB1" ></a></p>38 .1 -8 Source </h5>div class="func" ><table class="func" width="100%" ><tr ><td class="tdleft" ><code class="func" >&#an style='color: green'>8227; Source </code >( <var class="Arg" >f</var > )</td ><td class="tdright" >( function )</td ></tr ></table ></div >map , or cochain map , or equivariant chain map , or <span class="SimpleMath" >FpG</span span class="SimpleMath" >f</span > and returns it source .</p>strong class="button" >Examples:</strong > <span class="URL" ><a href="../tutorial/chap2.html" >1 </a></span > , <span class="URL" ><a href="../tutorial/chap4.html" >2 </a></span > , <span class="URL" ><a href="../tutorial/chap7.html" >3 </a></span > , <span class="URL" ><a href="../tutorial/chap8.html" >4 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutAbelianCategories.html" >5 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutNonabelian.html" >6 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoefficientSequence.html" >7 span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoveringSpaces.html" >8 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoverinSpaces.html" >9 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutFunctorial.html" >10 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutLieCovers.html" >11 </a></span > </p>"X7C76423782BA2868" name="X7C76423782BA2868" ></a></p>38 .1 -9 Target</h5>div class="func" ><table class="func" width="100%" ><tr ><td class="tdleft" ><code class="func" >&#an style='color: green'>8227; Target</code >( <var class="Arg" >f</var > )</td ><td class="tdright" >( function )</td ></tr ></table ></div >map , or cochain map , or equivariant chain map , or <span class="SimpleMath" >FpG</span span class="SimpleMath" >f</span > and returns its target.</p>strong class="button" >Examples:</strong > <span class="URL" ><a href="../tutorial/chap1.html" >1 </a></span > , <span class="URL" ><a href="../tutorial/chap2.html" >2 </a></span > , <span class="URL" ><a href="../tutorial/chap7.html" >3 </a></span > , <span class="URL" ><a href="../tutorial/chap8.html" >4 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutAbelianCategories.html" >5 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoefficientSequence.html" >6 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoveringSpaces.html" >7 </a></span > , <span class="URL" ><a href="../www/SideLinks/About/aboutCoverinSpaces.html" >8 </a></span > </p>div class="chlinkprevnextbot" > <a href="chap0.html" >[Top of Book]</a> <a href="chap0.html#contents" >[Contents]</a> <a href="chap37.html" >[Previous Chapter]</a> <a href="chap39.html" >[Next Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0.html" >Top</a> <a href="chap1.html" >1 </a> <a href="chap2.html" >2 </a> <a href="chap3.html" >3 </a> <a href="chap4.html" >4 </a> <a href="chap5.html" >5 </a> <a href="chap6.html" >6 </a> <a href="chap7.html" >7 </a> <a href="chap8.html" >8 </a> <a href="chap9.html" >9 </a> <a href="chap10.html" >10 </a> <a href="chap11.html" >11 </a> <a href="chap12.html" >12 </a> <a href="chap13.html" >13 </a> <a href="chap14.html" >14 </a> <a href="chap15.html" >15 </a> <a href="chap16.html" >16 </a> <a href="chap17.html" >17 </a> <a href="chap18.html" >18 </a> <a href="chap19.html" >19 </a> <a href="chap20.html" >20 </a> <a href="chap21.html" >21 </a> <a href="chap22.html" >22 </a> <a href="chap23.html" >23 </a> <a href="chap24.html" >24 </a> <a href="chap25.html" >25 </a> <a href="chap26.html" >26 </a> <a href="chap27.html" >27 </a> <a href="chap28.html" >28 </a> <a href="chap29.html" >29 </a> <a href="chap30.html" >30 </a> <a href="chap31.html" >31 </a> <a href="chap32.html" >32 </a> <a href="chap33.html" >33 </a> <a href="chap34.html" >34 </a> <a href="chap35.html" >35 </a> <a href="chap36.html" >36 </a> <a href="chap37.html" >37 </a> <a href="chap38.html" >38 </a> <a href="chap39.html" >39 </a> <a href="chap40.html" >40 </a> <a href="chapInd.html" >Ind</a> </div >hr />"foot" >generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc " >GAPDoc2HTML</a></p>body >html > Messung V0.5 in Prozent C=98 H=98 G=97
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