Björner, Anders
Overview
Works:  54 works in 156 publications in 5 languages and 2,938 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Contributor, Honoree 
Classifications:  QA166.6, 511.6 
Publication Timeline
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Most widely held works by
Anders Björner
Oriented matroids by
Anders Bjrner(
Book
)
26 editions published between 1992 and 1999 in English and Undetermined and held by 684 WorldCat member libraries worldwide
First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research
26 editions published between 1992 and 1999 in English and Undetermined and held by 684 WorldCat member libraries worldwide
First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research
Combinatorics of coxeter groups by
Anders Bjrner(
Book
)
28 editions published between 2005 and 2010 in English and held by 406 WorldCat member libraries worldwide
This book is a carefully written exposition of Coxeter groups, an area of mathematics which appears in algebra, geometry, and combinatorics. In this book, the combinatorics of Coxeter groups has mainly to do with reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and more
28 editions published between 2005 and 2010 in English and held by 406 WorldCat member libraries worldwide
This book is a carefully written exposition of Coxeter groups, an area of mathematics which appears in algebra, geometry, and combinatorics. In this book, the combinatorics of Coxeter groups has mainly to do with reduced expressions, partial order of group elements, enumeration, associated graphs and combinatorial cell complexes, and more
Using the BorsukUlam theorem : lectures on topological methods in combinatorics and geometry by
Jiř Matoušek(
Book
)
14 editions published between 2003 and 2010 in English and held by 57 WorldCat member libraries worldwide
"The "Kneser conjecture"Posed by Martin Kneser in 1955 in the Jahresbericht der DMV  is an innocentlooking problem about partitioning the ksubsets of an nset into intersecting subfamilies. Its striking solution by L. Lovsz featured an unexpected use of the BorsukUlam theorem, that is, of a genuinely topological result about continuous antipodal maps of spheres. Matousek's lively little textbook now shows that Lovsz' insight as well as beautiful work of many others (such as Vrecica and Zivaljevic, and Sarkaria) have opened up an exciting area of mathematics that connects combinatorics, graph theory, algebraic topology and discrete geometry. What seemed like an ingenious trick in 1978 now presents itself as an instance of the "test set paradigm": to construct configuration spaces for combinatorial problems such that coloring, incidence or transversal problems may be translated into the (non )existence of suitable equivariant maps. The vivid account of this area and its ramifications by Matousek is an exciting, a coherent account of this area of topological combinatorics. It features a collection of mathematical gems written with a broad view of the subject and still with loving care for details. Recommended reading! " Gnter M. Ziegler (Berlin) Zbl. MATH Volume 1060 Productionsno.: 05001
14 editions published between 2003 and 2010 in English and held by 57 WorldCat member libraries worldwide
"The "Kneser conjecture"Posed by Martin Kneser in 1955 in the Jahresbericht der DMV  is an innocentlooking problem about partitioning the ksubsets of an nset into intersecting subfamilies. Its striking solution by L. Lovsz featured an unexpected use of the BorsukUlam theorem, that is, of a genuinely topological result about continuous antipodal maps of spheres. Matousek's lively little textbook now shows that Lovsz' insight as well as beautiful work of many others (such as Vrecica and Zivaljevic, and Sarkaria) have opened up an exciting area of mathematics that connects combinatorics, graph theory, algebraic topology and discrete geometry. What seemed like an ingenious trick in 1978 now presents itself as an instance of the "test set paradigm": to construct configuration spaces for combinatorial problems such that coloring, incidence or transversal problems may be translated into the (non )existence of suitable equivariant maps. The vivid account of this area and its ramifications by Matousek is an exciting, a coherent account of this area of topological combinatorics. It features a collection of mathematical gems written with a broad view of the subject and still with loving care for details. Recommended reading! " Gnter M. Ziegler (Berlin) Zbl. MATH Volume 1060 Productionsno.: 05001
A combinatorial miscellany by
Anders Bjrner(
Book
)
7 editions published in 2010 in English and French and held by 52 WorldCat member libraries worldwide
7 editions published in 2010 in English and French and held by 52 WorldCat member libraries worldwide
Configuration spaces : geometry, combinatorics and topology by
Anders Bjrner(
Book
)
10 editions published between 2012 and 2013 in English and held by 22 WorldCat member libraries worldwide
These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period MayJune 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians
10 editions published between 2012 and 2013 in English and held by 22 WorldCat member libraries worldwide
These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period MayJune 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians
New perspectives in algebraic combinatorics by
Louis J Billera(
Book
)
2 editions published in 1999 in Undetermined and English and held by 5 WorldCat member libraries worldwide
"During 199697, the Mathematical Sciences Research Institute held a full academic year program on combinatorics, with special emphasis on the connections with other branches of mathematics, such as algebraic geometry, topology, commutative algebra, representation theory, and convex geometry."BOOK JACKET. "The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which represents work done or presented at seminars during the program."BOOK JACKET. "These expository articles, written by some of the most respected researchers in the field, present the state of the art to researchers and graduate students in combinatorics as well as algebra, geometry, and topology."Jacket
2 editions published in 1999 in Undetermined and English and held by 5 WorldCat member libraries worldwide
"During 199697, the Mathematical Sciences Research Institute held a full academic year program on combinatorics, with special emphasis on the connections with other branches of mathematics, such as algebraic geometry, topology, commutative algebra, representation theory, and convex geometry."BOOK JACKET. "The rich combinatorial problems arising from the study of various algebraic structures are the subject of this book, which represents work done or presented at seminars during the program."BOOK JACKET. "These expository articles, written by some of the most respected researchers in the field, present the state of the art to researchers and graduate students in combinatorics as well as algebra, geometry, and topology."Jacket
Homotopy properties of greedoids by
Anders Bjrner(
Book
)
3 editions published in 1984 in German and English and held by 5 WorldCat member libraries worldwide
3 editions published in 1984 in German and English and held by 5 WorldCat member libraries worldwide
Topological and geometric combinatorics : April 6th  April 12th, 2003(
Book
)
1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 3 WorldCat member libraries worldwide
Face numbers of scarf complexes by
Anders Bjrner(
Book
)
3 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
3 editions published in 1998 in English and held by 3 WorldCat member libraries worldwide
Pseudomodular lattices and continuous matroids by
Anders Bjrner(
Book
)
4 editions published in 1987 in 3 languages and held by 3 WorldCat member libraries worldwide
4 editions published in 1987 in 3 languages and held by 3 WorldCat member libraries worldwide
On matroids, groups and exchange languages by
Anders Bjrner(
Book
)
4 editions published in 1983 in Swedish and English and held by 3 WorldCat member libraries worldwide
4 editions published in 1983 in Swedish and English and held by 3 WorldCat member libraries worldwide
Combinatorial stratification of complex arrangements by
Anders Bjrner(
Book
)
4 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
4 editions published in 1991 in English and held by 3 WorldCat member libraries worldwide
Studies in homological and combinatorial order theory by
Anders Bjrner(
)
3 editions published in 1979 in 3 languages and held by 3 WorldCat member libraries worldwide
3 editions published in 1979 in 3 languages and held by 3 WorldCat member libraries worldwide
Invertibility of the Radon transform of a matroid by
Anders Bjrner(
Book
)
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1990 in English and held by 2 WorldCat member libraries worldwide
Segre and Rees products of posets, with ringtheoretic applications by
Anders Bjrner(
Book
)
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2003 in English and held by 2 WorldCat member libraries worldwide
Chip firing games on directed graphs by
Anders Bjrner(
Book
)
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1991 in English and held by 2 WorldCat member libraries worldwide
Poset fiber theorems by
Anders Bjrner(
Book
)
1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 2002 in English and held by 2 WorldCat member libraries worldwide
Posets and regular CW complexes by
Anders Bjrner(
Book
)
3 editions published in 1982 in English and Swedish and held by 2 WorldCat member libraries worldwide
3 editions published in 1982 in English and Swedish and held by 2 WorldCat member libraries worldwide
Face numbers of polytopes and complexes by
Louis J Billera(
)
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1997 in English and held by 2 WorldCat member libraries worldwide
An extended EulerPoincaré theorem by
Anders Bjrner(
Book
)
2 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
more
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Audience Level
0 

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Kids  General  Special 
Related Identities
 Brenti, Francesco 1960
 Ziegler, Günter M. Editor Contributor
 Matoušek, Jiři Author
 Stanley, Richard P. 1944 Editor
 Procesi, C Editor
 Sturmfels, Bernd
 Las Vergnas, Michel
 White, Neil
 BjörnerBrenti, ...
 Concini, C
Useful Links
Associated Subjects
Algebraic topology Combinatorial analysis Combinatorial geometry Combinatorial group theory Computational complexity Configuration space Coxeter groups Geometry Group theory Information theory KazhdanLusztig polynomials Linear programming Mathematics Matroids Ordered algebraic structures Oriented matroids Topological groups