<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">X</font> be  non <a href="struct_0.html#V3">empty</a> <a href="pre_topc.html#NM1">TopSpace</a>;<br/>

<b>thus </b><a NAME="E1:91"/>
for <font color="Olive">A</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>  st <font color="Olive">A</font> <a href="hidden.html#R2">in</a>  <a href="borsuk_1.html#K13" target="_self">TrivDecomp</a> <font color="Maroon">X</font> holds <br/>for <font color="Olive">V</font> being   <a href="connsp_2.html#M2">a_neighborhood</a> of <font color="Olive">A</font>  ex <font color="Olive">W</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font> st <br/>( <font color="Olive">W</font> is <a href="pre_topc.html#V3">open</a> &amp; <font color="Olive">A</font> <a href="tarski.html#R1">c=</a> <font color="Olive">W</font> &amp; <font color="Olive">W</font> <a href="tarski.html#R1">c=</a> <font color="Olive">V</font> &amp; ( for <font color="Olive">B</font> being  <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">X</font>  st <font color="Olive">B</font> <a href="hidden.html#R2">in</a>  <a href="borsuk_1.html#K13" target="_self">TrivDecomp</a> <font color="Maroon">X</font> &amp; <font color="Olive">B</font> <a href="xboole_0.html#NR5" target="_self">meets</a> <font color="Olive">W</font> holds <br/><font color="Olive">B</font> <a href="tarski.html#R1">c=</a> <font color="Olive">W</font> ) )
 <b>by </b><i/>; <i><font color="Red">:: according to </font></i><a class="ref" href="borsuk_1.html#D13" target="_self">BORSUK_1:def 13</a><br/>


</div>
