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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Cone complexes and PL transversality


Author: Clint McCrory
Journal: Trans. Amer. Math. Soc. 207 (1975), 269-291
MSC: Primary 57C25
MathSciNet review: 0400243
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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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DOI: http://dx.doi.org/10.1090/S0002-9947-1975-0400243-7
PII: S 0002-9947(1975)0400243-7
Keywords: Piecewise linear transversality, blocktransversality, cone complex, poset, piecewise linear stratification, intrinsic dimension, Poincaré duality
Article copyright: © Copyright 1975 American Mathematical Society