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A proof of the conjecture by Gian-Carlo Rota that, in homology theory, homology groups depend only on the lattices, not on the choice of crosscuts. Using this proof, the author determines the structure of the homology groups on an important class of lattices called geometric lattices

This report is part of the RAND Corporation research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.

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