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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E34">Th45</font></span>: <a NAME="T46"><span class="comment"><font color="firebrick">:: YELLOW16:46</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">T</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>  <a href="pre_topc.html#NM1" title="PRE_TOPC:NM.1">TopSpace</a><br/>  for <font color="Olive" title="b2">V</font> being   <a href="pre_topc.html#V3" title="PRE_TOPC:attr.3">open</a>  <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">T</font> holds   <a href="funct_3.html#K5" title="FUNCT_3:func.5">chi</a> (<font color="Olive" title="b2">V</font>, the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">T</font>) is   <a href="pre_topc.html#V5" title="PRE_TOPC:attr.5">continuous</a>  <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">T</font>,<a href="waybel18.html#K9" title="WAYBEL18:func.9">Sierpinski_Space</a></div></div>
