Poincare duality for a class of posets

Jing-Wen Gao,Xiao-Song Yang

TOPOLOGY AND ITS APPLICATIONS(2024)

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摘要
We prove the Poincare duality theorem for bi-cellular posets X, that is, both X and X-op are cellular, in terms of cap product for finite posets which will be introduced. Moreover, we show that our results include face posets of h-regular homology manifolds. (c) 2024 Elsevier B.V. All rights reserved.
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关键词
Finite topological spaces,Finite Posets,Cap Product,Poincare duality,closed homology manifolds
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