[PDF] Extension Spaces Of Oriented Matroids - eBooks Review

Extension Spaces Of Oriented Matroids


Extension Spaces Of Oriented Matroids
DOWNLOAD

Download Extension Spaces Of Oriented Matroids PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Extension Spaces Of Oriented Matroids book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page



Extension Spaces Of Oriented Matroids


Extension Spaces Of Oriented Matroids
DOWNLOAD
Author : Bernd Sturmfels
language : en
Publisher:
Release Date : 1991

Extension Spaces Of Oriented Matroids written by Bernd Sturmfels and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.




Oriented Matroids


Oriented Matroids
DOWNLOAD
Author : Anders Björner
language : en
Publisher: Cambridge University Press
Release Date : 1999-11-18

Oriented Matroids written by Anders Björner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-18 with Mathematics categories.


Oriented matroids are a very natural mathematical concept which presents itself in many different guises and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry. This is the second edition of the first comprehensive, accessible account of the subject. It is intended for a diverse audience: graduate students who wish to learn the subject from scratch; researchers in the various fields of application who want to concentrate on certain aspects of the theory; specialists who need a thorough reference work; and others at academic points in between. A list of exercises and open problems ends each chapter. For the second edition, the authors have expanded the bibliography greatly to ensure that it remains comprehensive and up-to-date, and they have also added an appendix surveying research since the work was first published.



Triangulations Of Oriented Matroids


Triangulations Of Oriented Matroids
DOWNLOAD
Author : Francisco Santos
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Triangulations Of Oriented Matroids written by Francisco Santos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


We consider the concept of triangulation of an oriented matroid. We provide a definition which generalizes the previous ones by Billera-Munson and by Anderson and which specializes to the usual notion of triangulation (or simplicial fan) in the realizable case. Then we study the relation existing between triangulations of an oriented matroid $\mathcal{M}$ and extensions of its dual $\mathcal{M}^*$, via the so-called lifting triangulations. We show that this duality behaves particularly well in the class of Lawrence matroid polytopes. In particular, that the extension space conjecture for realizable oriented matroids is equivalent to the restriction to Lawrence polytopes of the Generalized Baues problem for subdivisions of polytopes. We finish by showing examples and a characterization of lifting triangulations.



Extension Spaces Of Oriented Matriods


Extension Spaces Of Oriented Matriods
DOWNLOAD
Author : Bernd Sturmfels
language : en
Publisher:
Release Date : 1991

Extension Spaces Of Oriented Matriods written by Bernd Sturmfels and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Matroids categories.


Abstract: "We study the space of all extensions of a real hyperplance arrangement by a new pseudo-hyperplane, and, more generally, of an oriented matroid by a new element. The question whether this space has the homotopy type of a sphere is a special case of the 'Generalized Baues Problem' of Billera, Kapranov & Sturmfels, via the Bohne-Dress Theorem on zonotopal tilings. We prove that the extension space is spherical for the class of strongly euclidean oriented matroids. This class includes the alternating matroids and all oriented matroids of rank at most 3 or of corank at most 2. In general it is not even known whether the extension space is connected. We show that the subspace of realizable extensions is always connected but not necessarily spherical."



Purity And Separation For Oriented Matroids


Purity And Separation For Oriented Matroids
DOWNLOAD
Author : Pavel Galashin
language : en
Publisher: American Mathematical Society
Release Date : 2023-09-27

Purity And Separation For Oriented Matroids written by Pavel Galashin and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-27 with Mathematics categories.


View the abstract.



Jerusalem Combinatorics 93


Jerusalem Combinatorics 93
DOWNLOAD
Author : Hélène Barcelo
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Jerusalem Combinatorics 93 written by Hélène Barcelo and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.


This book contains twenty-two papers presented at the International Conference in Combinatorics, held in Jerusalem in May 1993. The papers describe some of the latest developments in algebraic combinatorics, enumeration, graph and hypergraph theory, combinatorial geometry, and geometry of polytopes and arrangements. The papers are accessible to specialists as well as nonspecialists.



Handbook Of Convex Geometry


Handbook Of Convex Geometry
DOWNLOAD
Author : Bozzano G Luisa
language : en
Publisher: Elsevier
Release Date : 2014-06-28

Handbook Of Convex Geometry written by Bozzano G Luisa and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.


Handbook of Convex Geometry, Volume A offers a survey of convex geometry and its many ramifications and relations with other areas of mathematics, including convexity, geometric inequalities, and convex sets. The selection first offers information on the history of convexity, characterizations of convex sets, and mixed volumes. Topics include elementary convexity, equality in the Aleksandrov-Fenchel inequality, mixed surface area measures, characteristic properties of convex sets in analysis and differential geometry, and extensions of the notion of a convex set. The text then reviews the standard isoperimetric theorem and stability of geometric inequalities. The manuscript takes a look at selected affine isoperimetric inequalities, extremum problems for convex discs and polyhedra, and rigidity. Discussions focus on include infinitesimal and static rigidity related to surfaces, isoperimetric problem for convex polyhedral, bounds for the volume of a convex polyhedron, curvature image inequality, Busemann intersection inequality and its relatives, and Petty projection inequality. The book then tackles geometric algorithms, convexity and discrete optimization, mathematical programming and convex geometry, and the combinatorial aspects of convex polytopes. The selection is a valuable source of data for mathematicians and researchers interested in convex geometry.



New Perspectives In Algebraic Combinatorics


New Perspectives In Algebraic Combinatorics
DOWNLOAD
Author : Louis J. Billera
language : en
Publisher: Cambridge University Press
Release Date : 1999-09-28

New Perspectives In Algebraic Combinatorics written by Louis J. Billera and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-09-28 with Mathematics categories.


This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.



Discrete And Computational Geometry


Discrete And Computational Geometry
DOWNLOAD
Author : Boris Aronov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Discrete And Computational Geometry written by Boris Aronov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.



Handbook Of Discrete And Computational Geometry


Handbook Of Discrete And Computational Geometry
DOWNLOAD
Author : Csaba D. Toth
language : en
Publisher: CRC Press
Release Date : 2017-11-22

Handbook Of Discrete And Computational Geometry written by Csaba D. Toth and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Computers categories.


The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.