8 citations · 23 across the 11 of their papers we have counts for
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math.AC2013
Regular CW-complexes and poset resolutions of monomial ideals
Timothy B. P. Clark, Alexandre Tchernev
We use the natural homeomorphism between a regular CW-complex X and its face poset P_X to establish a canonical isomorphism between the cellular chain complex of X and the result o…
math.AC2013★ 6 cited
Modules over categories and Betti posets of monomial ideals
Alexandre Tchernev, Marco Varisco
We introduce to the context of multigraded modules the methods of modules over categories from algebraic topology and homotopy theory. We develop the basic theory quite generally,…