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- W2065847213 abstract "We define and study a class of finite topological spaces, which model the cell structure of a space obtained by gluing finitely many Euclidean convex polyhedral cells along congruent faces. We call these finite topological spaces, combinatorial cell complexes (or c.c.c). We define orientability, homology and cohomology of c.c.c’s and develop enough algebraic topology in this setting to prove the Poincaré duality theorem for a c.c.c satisfying suitable regularity conditions. The definitions and proofs are completely finitary and combinatorial in nature." @default.
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- W2065847213 date "2010-02-04" @default.
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- W2065847213 title "Combinatorial cell complexes and Poincaré duality" @default.
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- W2065847213 doi "https://doi.org/10.1007/s10711-010-9458-y" @default.
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