Boolean representations of simplicial complexes and matroids:
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham [u.a.]
Springer
2015
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Abstract Inhaltsverzeichnis |
| Physical Description: | 1 Online-Ressource (X, 173 S.) Ill. |
| ISBN: | 9783319151144 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-319-15114-4 |
Staff View
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Record in the Search Index
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| adam_text | BOOLEAN REPRESENTATIONS OF SIMPLICIAL COMPLEXES AND MATROIDS
/ RHODES, JOHN
: 2015
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
BOOLEAN REPRESENTATIONS OF SIMPLICIAL COMPLEXES AND MATROIDS
/ RHODES, JOHN
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Rhodes, John L. 1937- Silva, Pedro V. |
| author_GND | (DE-588)142300063 |
| author_facet | Rhodes, John L. 1937- Silva, Pedro V. |
| author_role | aut aut |
| author_sort | Rhodes, John L. 1937- |
| author_variant | j l r jl jlr p v s pv pvs |
| building | Verbundindex |
| bvnumber | BV042387190 |
| classification_rvk | SK 300 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)904325663 (DE-599)BVBBV042387190 |
| dewey-full | 511.33 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.33 |
| dewey-search | 511.33 |
| dewey-sort | 3511.33 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-15114-4 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:20:11Z |
| institution | BVB |
| isbn | 9783319151144 |
| issn | 1439-7382 |
| language | English |
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| spelling | Rhodes, John L. 1937- Verfasser (DE-588)142300063 aut Boolean representations of simplicial complexes and matroids John Rhodes ; Pedro V. Silva Cham [u.a.] Springer 2015 1 Online-Ressource (X, 173 S.) Ill. txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics 1439-7382 Mathematics Geometry, algebraic Algebra Matrix theory Combinatorics Algebraic topology Order, Lattices, Ordered Algebraic Structures Associative Rings and Algebras Algebraic Topology Algebraic Geometry Linear and Multilinear Algebras, Matrix Theory Mathematik Silva, Pedro V. Verfasser aut Erscheint auch als Druckausgabe 978-3-319-15113-7 https://doi.org/10.1007/978-3-319-15114-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027823150&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Abstract Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027823150&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rhodes, John L. 1937- Silva, Pedro V. Boolean representations of simplicial complexes and matroids Mathematics Geometry, algebraic Algebra Matrix theory Combinatorics Algebraic topology Order, Lattices, Ordered Algebraic Structures Associative Rings and Algebras Algebraic Topology Algebraic Geometry Linear and Multilinear Algebras, Matrix Theory Mathematik |
| title | Boolean representations of simplicial complexes and matroids |
| title_auth | Boolean representations of simplicial complexes and matroids |
| title_exact_search | Boolean representations of simplicial complexes and matroids |
| title_full | Boolean representations of simplicial complexes and matroids John Rhodes ; Pedro V. Silva |
| title_fullStr | Boolean representations of simplicial complexes and matroids John Rhodes ; Pedro V. Silva |
| title_full_unstemmed | Boolean representations of simplicial complexes and matroids John Rhodes ; Pedro V. Silva |
| title_short | Boolean representations of simplicial complexes and matroids |
| title_sort | boolean representations of simplicial complexes and matroids |
| topic | Mathematics Geometry, algebraic Algebra Matrix theory Combinatorics Algebraic topology Order, Lattices, Ordered Algebraic Structures Associative Rings and Algebras Algebraic Topology Algebraic Geometry Linear and Multilinear Algebras, Matrix Theory Mathematik |
| topic_facet | Mathematics Geometry, algebraic Algebra Matrix theory Combinatorics Algebraic topology Order, Lattices, Ordered Algebraic Structures Associative Rings and Algebras Algebraic Topology Algebraic Geometry Linear and Multilinear Algebras, Matrix Theory Mathematik |
| url | https://doi.org/10.1007/978-3-319-15114-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027823150&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027823150&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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