Surfaces in 4-Space
Edition: 1 edition
Publisher: Springer
Published: May 27, 2004
Language: eng
Format: Hardcover
Number of pages: 213
ISBN-13: 9783540210405
Subjects: Algebraic topology; Mathematics; Science/Mathematics; Geometry - General; Topology - General; Mathematics / Geometry / General; Mathematics / Topology; Mathematics : Topology - General; quandle; rack homology; surfaces
First sentence: A fundamental problem in topology is to find a good geometric representation of the topological entity.
Description: ""Surfaces in 4-Space" discusses knotted surfaces in 4-dimensional space and surveys many of the known results in the area. Results on knotted surface diagrams, constructions of knotted surfaces, classically defined invariants, and new invariants defined via quandle homology theory are presented. As a survey, the book is a guide book to the extensive literature on knotted surfaces. Many recent results comprise the last chapter, and techniques for computation are presented. New tables of quandles with a few elements and the homology groups thereof are included." "The book contains many new illustrations of knotted surface diagrams. The reader of the book will become aware of the subtleties in going from the classical case of knotted circles in 3-space to this higher dimensional case."--BOOK JACKET.