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Boolean representations of simplicia...
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Rhodes, John L.
Boolean representations of simplicial complexes and matroids /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Boolean representations of simplicial complexes and matroids /John Rhodes, Pedro V. Silva.
Author:
Rhodes, John L.
other author:
Silva, Pedro V.
Published:
Cham :Springer,c2015.
Description:
x, 173 p. :ill. ;25 cm.
Subject:
Algebra, Boolean.
ISBN:
9783319151137 (hbk.) :
Boolean representations of simplicial complexes and matroids /
Rhodes, John L.
Boolean representations of simplicial complexes and matroids /
John Rhodes, Pedro V. Silva. - Cham :Springer,c2015. - x, 173 p. :ill. ;25 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..
Includes bibliographical references (p. 165-167) and indexes.
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.
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.
ISBN: 9783319151137 (hbk.) :NT$2612
LCCN: 2015931927Subjects--Topical Terms:
272553
Algebra, Boolean.
LC Class. No.: QA10.3 / .R46 2015
Dewey Class. No.: 511.3
Boolean representations of simplicial complexes and matroids /
LDR
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Boolean representations of simplicial complexes and matroids /
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John Rhodes, Pedro V. Silva.
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Springer,
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c2015.
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x, 173 p. :
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ill. ;
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25 cm.
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Springer monographs in mathematics,
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Includes bibliographical references (p. 165-167) and indexes.
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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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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.
650
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Algebra, Boolean.
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272553
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Boolean matrices.
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Silva, Pedro V.
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Springer monographs in mathematics.
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557774
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西方語文圖書區(四樓)
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西方語文圖書區(四樓)
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QA10.3 R476 2015
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