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Boolean representations of simplicia...

Rhodes, John L.

Boolean representations of simplicial complexes and matroids /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Boolean representations of simplicial complexes and matroids /John Rhodes, Pedro V. Silva.
作者:	Rhodes, John L.
其他作者:	Silva, Pedro V.
出版者:	Cham :Springer,c2015.
面頁冊數:	x, 173 p. :ill. ;25 cm.
標題:	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:02132cam a2200253 a 4500 001 457885
003 OCoLC
005 20150728105215.0
008 150922s2015 sz a b 001 0 eng d
010 $a 2015931927
020 $a 9783319151137 (hbk.) : $c NT$2612
020 $a 3319151134 (hbk.)
020 $z 9783319151144 (ebk.)
035 $a (OCoLC)898531863
035 $a 898531863
040 $a BTCTA $b eng $c BTCTA $d YDXCP $d LWU $d OCLCO $d DXU $d UtOrBLW
050 4 $a QA10.3 $b .R46 2015
082 0 4 $a 511.3 $2 23
100 1 $a Rhodes, John L. $3 348611
245 1 0 $a Boolean representations of simplicial complexes and matroids / $c John Rhodes, Pedro V. Silva.
260 $a Cham : $b Springer, $c c2015.
300 $a x, 173 p. : $b ill. ; $c 25 cm.
490 1 $a Springer monographs in mathematics, $x 1439-7382
504 $a Includes bibliographical references (p. 165-167) and indexes.
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. ℗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 0 $a Algebra, Boolean. $3 272553
650 0 $a Boolean matrices. $3 709050
700 1 $a Silva, Pedro V. $3 709049
830 0 $a Springer monographs in mathematics. $3 557774