Boolean representations of simplicial complexes and matroids [electronic resource] / John Rhodes, Pedro V. Silva.
Rhodes, John L., author.; Silva, Pedro V., author.
2015
QA10.3
Available Online

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Title Boolean representations of simplicial complexes and matroids [electronic resource] / John Rhodes, Pedro V. Silva.
Author Rhodes, John L., author.
ISBN 9783319151144 electronic book
3319151142 electronic book
9783319151137
DOI https://doi.org/10.1007/978-3-319-15114-4
Published Cham : Springer, 2015.
Language English
Description 1 online resource (x, 173 pages) : illustrations.
Item Number 10.1007/978-3-319-15114-4 doi
Call Number QA10.3
Dewey Decimal Classification 511.3
Summary 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. ℗ℓ 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 5, 2015).
Added Author Silva, Pedro V., author.
Series Springer monographs in mathematics.
Available in Other Form Print version: 9783319151137
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1. Introduction
2. Boolean and superboolean matrices
3. Posets and lattices
4. Simplicial complexes
5. Boolean representations
6. Paving simplicial complexes
7. Shellability and homotopy type
8. Operations on simplicial complexes
9. Open questions.

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