Transactions of the American Mathematical Society · 1975 · 34 citations · 15 references
Natural SciencesMathematicsGeometrySet TheoryTopologyAlgebraic GeometryConvex GeometryPoincare DualityPoincaré DualityPolyhedron Theory
A definition of PL transversality is given, using the orderreversing duality on partially ordered sets. David Stone’s theory of stratified polyhedra is thereby simplified; in particular, the symmetry of blocktransversality is proved. Also, polyhedra satisfying Poincaré duality are characterized geometrically.
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Simplicial Structures and Transverse Cellularity
Marshall M. Cohen · Annals of Mathematics · 1967 · 86 citations
C. P. Rourke, Brian Sanderson · Annals of Mathematics · 1968 · 85 citations