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Boolean Representations of Simplicial Complexes and Matroids [electronic resource] / by John Rhodes, Pedro V. Silva.

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dc.contributor.author Rhodes, John. author.
dc.contributor.author Silva, Pedro V. author.
dc.contributor.author SpringerLink (Online service)
dc.date.accessioned 2017-11-30T20:58:47Z
dc.date.available 2017-11-30T20:58:47Z
dc.date.created 2015.
dc.date.issued 2015
dc.identifier.isbn 9783319151144
dc.identifier.uri http://dspace.conacyt.gov.py/xmlui/handle/123456789/12889
dc.description X, 173 p. 36 illus.
dc.description.abstract 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.
dc.description.tableofcontents 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.
dc.language eng
dc.publisher Cham : Springer International Publishing : Imprint: Springer, 2015.
dc.relation.ispartofseries Springer eBooks
dc.relation.ispartofseries Springer Monographs in Mathematics, 1439-7382
dc.relation.ispartofseries Springer Monographs in Mathematics, 1439-7382
dc.relation.uri http://cicco.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-15114-4
dc.subject Mathematics.
dc.subject Algebraic geometry.
dc.subject Associative rings.
dc.subject Rings (Algebra).
dc.subject Matrix theory.
dc.subject Algebra.
dc.subject Ordered algebraic structures.
dc.subject Algebraic topology.
dc.subject Combinatorics.
dc.subject Mathematics.
dc.subject Order, Lattices, Ordered Algebraic Structures.
dc.subject Associative Rings and Algebras.
dc.subject Algebraic Topology.
dc.subject Algebraic Geometry.
dc.subject Linear and Multilinear Algebras, Matrix Theory.
dc.subject Combinatorics.
dc.subject.ddc 511.33 23
dc.subject.lcc QA172-172.4
dc.subject.lcc QA171.5
dc.subject.other Mathematics and Statistics (Springer-11649)
dc.title Boolean Representations of Simplicial Complexes and Matroids [electronic resource] / by John Rhodes, Pedro V. Silva.
dc.type text
dc.identifier.doi 10.1007/978-3-319-15114-4
dc.identifier.bib 978-3-319-15114-4
dc.format.rdamedia computer
dc.format.rdacarrier online resource
dc.format.rda text file PDF

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