Cone complexes and PL transversality

McCrory, Clint

doi:10.1090/S0002-9947-1975-0400243-7

Cone complexes and PL transversality
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Trans. Amer. Math. Soc. 207 (1975), 269-291 Request permission

Abstract:

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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Triangulation of stratified sets