About: Piecewise linear manifold

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In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise linear functions. This is slightly stronger than the topological notion of a triangulation. An isomorphism of PL manifolds is called a PL homeomorphism.

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rdfs:label	Piecewise linear manifold (en)
rdfs:comment	In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise linear functions. This is slightly stronger than the topological notion of a triangulation. An isomorphism of PL manifolds is called a PL homeomorphism. (en)
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dcterms:subject	Structures on manifolds Manifolds Geometric topology
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Link from a Wikipage to another Wikipage	Structures on manifolds Mathematics Generalized Poincaré conjecture Obstruction theory Smooth structure Cone (topology) Simplicial complexes Piecewise linear function Suspension (topology) H-cobordism Hauptvermutung Manifolds Exotic sphere Digital manifold Digital topology Isomorphism Geometric topology Atlas (topology) Surgery theory Homotopy sphere Triangulation (topology) Kirby–Siebenmann class Topological manifold Smooth manifold Chart (topology) Simplicial manifold PDIFF The Annals of Mathematics Poincaré homology sphere Real algebraic set Combinatorial manifold
sameAs	Piecewise linear manifold Piecewise linear manifold Piecewise linear manifold Piecewise linear manifold
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has abstract	In mathematics, a piecewise linear (PL) manifold is a topological manifold together with a piecewise linear structure on it. Such a structure can be defined by means of an atlas, such that one can pass from chart to chart in it by piecewise linear functions. This is slightly stronger than the topological notion of a triangulation. An isomorphism of PL manifolds is called a PL homeomorphism. (en)
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is Link from a Wikipage to another Wikipage of	BPL Robion Kirby List of cohomology theories Annulus theorem Homotopy groups of spheres Delaunay refinement Incompressible surface List of manifolds Generalized Poincaré conjecture Low-dimensional topology Timeline of manifolds Christopher Zeeman Alexander's trick Alexander horned sphere Pachner moves Piecewise linear Piecewise linear function Piecewise linear homeomorphism Microbundle H-cobordism Hauptvermutung 3-manifold Exotic sphere

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