Oriented Matroids

"Oriented matroids appear throughout discrete geometry and have applications in algebra, topology, physics, and data analysis. This introductory text is intended for graduate students, scientists wanting to apply oriented matroids, and researchers in pure mathematics. No knowledge of matroid theory is assumed"--

List of contents

1. Realizable oriented matroids; 2. Oriented matroids; 3. Elementary operations and properties; 4. The topological representation theorem; 5. Strong maps and weak maps; 6. Single-element extensions; 7. The universality theorem; 8. Oriented matroid polytopes; 9. Subdivisions and triangulations; 10. Spaces of oriented matroids; 11. Hints on selected exercises; References; Index.

About the author

Laura Anderson is Associate Professor in the Department of Mathematics and Statistics at Binghamton University. Her research focuses on interactions between combinatorics and topology, particularly those involving oriented matroids, convex polytopes, and other concepts from discrete geometry.

Product details

• Authors: Laura Anderson, Laura (State University of New York Anderson, Anderson Laura
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 30.04.2025
• EAN: 9781009494113
• ISBN: 978-1-0-0949411-3
• No. of pages: 341
• Series: Cambridge Studies in Advanced Mathematics
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > General, dictionaries; MATHEMATICS / Discrete Mathematics, geometry, Topology, Discrete Mathematics, Data capture and analysis, Data Capture & Analysis