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In recent years a high dimensional theory of expanders has emerged. The notion of combinatorial expansion of graphs (i.e. the Cheeger constant of a graph) has seen two generalizations to high dimensional simplicial complexes. One generalization, known as coboundary expansion, is due to Linial and Meshulem; the other, which we term here cosystolic expansion,… (More)

In recent years a high dimensional theory of expanders has emerged. The notion of combinatorial expanders of graphs (i.e. the Cheeger constant of a graph) has seen two generalizations to high dimensional simpli-cial complexes. One generalization, known as coboundary expansion is due to Linial and Meshulem; the other, which we term here systolic expansion,… (More)

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