Three new proofs of Dowker duality are presented using poset fiber lemmas, along with a generalization showing that homologies of simplicial complexes and relational complexes form a long exact sequence.
On the homology of small categories and asynchronous transition systems
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Short, new proofs of Dowker duality
Three new proofs of Dowker duality are presented using poset fiber lemmas, along with a generalization showing that homologies of simplicial complexes and relational complexes form a long exact sequence.