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<span class="kw">let </span><font color="Maroon" title="c1">T</font> be    <a href="topmetr.html#M1" title="TOPMETR:mode.1">SubSpace</a> of  <a href="metric_1.html#K8" title="METRIC_1:func.8">RealSpace</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">T</font> is  <a href="borsuk_4.html#V1" title="BORSUK_4:attr.1">real-membered</a> </span><br/>

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the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">T</font> is   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <a href="metric_1.html#K8" title="METRIC_1:func.8">RealSpace</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="topmetr.html#D1" title="TOPMETR:def.1">TOPMETR:def 1</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:2_1_1"/>
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">T</font> is  <a href="membered.html#V3" title="MEMBERED:attr.3">real-membered</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="metric_1.html#D14" title="METRIC_1:def.14">METRIC_1:def 14</a></span>; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="borsuk_4.html#D2" title="BORSUK_4:def.2">BORSUK_4:def 2</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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