國立高雄大學圖資館 |

Language: English

Back

Boolean representations of simplicia...

Rhodes, John.

Boolean representations of simplicial complexes and matroids

Record Type:	Electronic resources : Monograph/item
Title/Author:	Boolean representations of simplicial complexes and matroidsby John Rhodes, Pedro V. Silva.
Author:	Rhodes, John.
other author:	Silva, Pedro V.
Published:	Cham :Springer International Publishing :2015.
Description:	x, 173 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Algebra, Boolean.
Online resource:	http://dx.doi.org/10.1007/978-3-319-15114-4
ISBN:	9783319151144 (electronic bk.)

Boolean representations of simplicial complexes and matroids
Rhodes, John.

Boolean representations of simplicial complexes and matroids[electronic resource] /by John Rhodes, Pedro V. Silva. - Cham :Springer International Publishing :2015. - x, 173 p. :ill., digital ;24 cm. - Springer monographs in mathematics,1439-7382. - Springer monographs in mathematics..

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. 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: 9783319151144 (electronic bk.)

Standard No.: 10.1007/978-3-319-15114-4doiSubjects--Topical Terms:

272553
Algebra, Boolean.

LC Class. No.: QA10.3

Dewey Class. No.: 511.3

Boolean representations of simplicial complexes and matroids
LDR:02318nmm a2200325 a 4500 001 461949
003 DE-He213
005 20150922112441.0
006 m d
007 cr nn 008maaau
008 151110s2015 gw s 0 eng d
020 $a 9783319151144 (electronic bk.)
020 $a 9783319151137 (paper)
024 7 $a 10.1007/978-3-319-15114-4 $2 doi
035 $a 978-3-319-15114-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QA10.3
072 7 $a PBF $2 bicssc
072 7 $a MAT002010 $2 bisacsh
082 0 4 $a 511.3 $2 23
090 $a QA10.3 $b .R476 2015
100 1 $a Rhodes, John. $3 714415
245 1 0 $a Boolean representations of simplicial complexes and matroids $h [electronic resource] / $c by John Rhodes, Pedro V. Silva.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 173 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
505 0 $a 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.
520 $a 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.
650 0 $a Algebra, Boolean. $3 272553
650 0 $a Boolean matrices. $3 709050
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Order, Lattices, Ordered Algebraic Structures. $3 275673
650 2 4 $a Associative Rings and Algebras. $3 274818
650 2 4 $a Algebraic Topology. $3 273784
650 2 4 $a Algebraic Geometry. $3 274807
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
650 2 4 $a Combinatorics. $3 274788
700 1 $a Silva, Pedro V. $3 709049
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Springer monographs in mathematics. $3 557774
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-15114-4
950 $a Mathematics and Statistics (Springer-11649)