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

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发表于 2025-3-21 17:40:11 | 显示全部楼层 |阅读模式
期刊全称Boolean Representations of Simplicial Complexes and Matroids
影响因子2023John Rhodes,Pedro V. Silva
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发行地址Contains 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
学科分类Springer Monographs in Mathematics
图书封面Titlebook: Boolean Representations of Simplicial Complexes and Matroids;  John Rhodes,Pedro V. Silva Book 2015 Springer International Publishing Switz
影响因子.This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. Moreover, many geometric and topological features of the theory of matroids find their counterparts in this extended context.. .Graduate students and researchers working in the areas of combinatorics, geometry, topology, algebra and lattice theory will find this monograph appealing due to the wide range of new problems raised by the theory. Combinatorialists will find this extension of the theory of matroids useful as it opens new lines of research within and beyond matroids. The geometric features and geometric/topological applications will appeal to geometers. Topologists who desire to perform algebraic topology computations will appreciate the algorithmic potential of boolean representable complexes..
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发表于 2025-3-21 20:50:24 | 显示全部楼层
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
发表于 2025-3-22 03:17:23 | 显示全部楼层
Springer Monographs in Mathematicshttp://image.papertrans.cn/b/image/189784.jpg
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Boolean Representations of Simplicial Complexes and Matroids978-3-319-15114-4Series ISSN 1439-7382 Series E-ISSN 2196-9922
发表于 2025-3-22 10:41:42 | 显示全部楼层
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.
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