Triangulations of subanalytic sets and locally subanalytic manifolds
Triangulations of subanalytic sets and locally subanalytic manifolds
If two polyhedrons are locally subanalytically homeomorphic (that is, the graph is locally subanalytic), they are <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="PL"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mtext>PL</mml:mtext> </mml:mrow> <mml:annotation encoding="application/x-tex">{\text {PL}}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> homeomorphic. A locally subanalytic manifold is one whose coordinate transformations are locally subanalytic. It is proved that a …