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<span class="p1">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <span class="p2">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1</span>)</span></span>)</span> <a href="pre_topc.html#K1" title="PRE_TOPC:func.1">|</a> <span class="p1">(<span class="default"><a href="topreal9.html#K3" title="TOPREAL9:func.3">Sphere</a> (<span class="p2">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p3">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <span class="p4">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1</span>)</span></span>)</span></span>)</span>,1)</span>)</span> is  <a href="waybel23.html#V5" title="WAYBEL23:attr.5">second-countable</a> 
 
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<a NAME="E2:44_1_1"/><span class="kw">then </span>
 <a href="toprealb.html#K7" title="TOPREALB:func.7">Tcircle</a> (<span class="p1">(<span class="default"><a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <span class="p2">(<span class="default"><a href="euclid.html#K15" title="EUCLID:func.15">TOP-REAL</a> <span class="p3">(<span class="default"><font color="Maroon" title="c1">n</font> <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1</span>)</span></span>)</span></span>)</span>,1) is  <a href="waybel23.html#V5" title="WAYBEL23:attr.5">second-countable</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="toprealb.html#D6" title="TOPREALB:def.6">TOPREALB:def 6</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:44_1_1"/>
 <a href="mfold_2.html#K4" title="MFOLD_2:func.4">TUnitSphere</a> <font color="Maroon" title="c1">n</font> is  <a href="waybel23.html#V5" title="WAYBEL23:attr.5">second-countable</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="toprealb.html#D7" title="TOPREALB:def.7">TOPREALB:def 7</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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