<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="topgen_1.html#V5" title="TOPGEN_1:attr.5">perfect</a> <a onclick="hs(this)" href="javascript:()">TOPGEN_1:def 10 : <br/></a><span> for <font color="Olive" title="b1">T</font> being   <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">A</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">T</font> holds <br/> ( <font color="Olive" title="b2">A</font> is  <a href="topgen_1.html#V5" title="TOPGEN_1:attr.5">perfect</a>  iff ( <font color="Olive" title="b2">A</font> is  <a href="pre_topc.html#V4" title="PRE_TOPC:attr.4">closed</a>  &amp; <font color="Olive" title="b2">A</font> is  <a href="topgen_1.html#V2" title="TOPGEN_1:attr.2">dense-in-itself</a>  ) );<br/></span></div>
