Boolean Representations of Simplicial Complexes and Matroids

Nonfiction, Science & Nature, Mathematics, Topology, Algebra
Cover of the book Boolean Representations of Simplicial Complexes and Matroids by John Rhodes, Pedro V. Silva, Springer International Publishing
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Author: John Rhodes, Pedro V. Silva ISBN: 9783319151144
Publisher: Springer International Publishing Publication: February 26, 2015
Imprint: Springer Language: English
Author: John Rhodes, Pedro V. Silva
ISBN: 9783319151144
Publisher: Springer International Publishing
Publication: February 26, 2015
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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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