
Combinatorial And Toric Homotopy: Introductory Lectures
INTRODUCTORY LECTURES
World Scientific Publishing Co Pte Ltd
Published on 18. December 2017
Book
Hardback
448 pages
978-981-322-656-2 (ISBN)
Description
This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning.The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis-Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics.The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 29 mm
Weight
795 gr
ISBN-13
978-981-322-656-2 (9789813226562)
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Schweitzer Classification
Persons
Editor
Fudan Univ, China
Univ Of Southampton, Uk
Fudan Univ, China
Hebei Normal Univ, China