Titlebook: Boolean Representations of Simplicial Complexes and Matroids; John Rhodes,Pedro V. Silva Book 2015 Springer International Publishing Switz

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John Rhodes,Pedro V. SilvaContains open problems and new ideas for research.Develops a geometric theory in an extended context.Uses the lattice structure for all representations of boolean representations of simplicial complex

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Boolean Representations of Simplicial Complexes and Matroids978-3-319-15114-4Series ISSN 1439-7382 Series E-ISSN 2196-9922

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https://doi.org/10.1007/978-3-319-15114-4Boolean Matrix; Lattice Representations; Posets; representation theory; shellability and homotopy type; s

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Guillaume James,Yuli StarosvetskySimplicial complexes can be approached in the most abstract way, as combinatorial objects, and under this perspective they are often called hereditary collections. Matroids constitute a very important particular case.