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Complements of Discriminants of Smooth Maps - Mathematics Book

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Description

Explore advanced topological concepts in Complements of Discriminants of Smooth Maps, part of the Translations of Mathematical Monographs series. This text investigates a wide range of topological spaces essential to differential and homotopy topology, algebraic geometry, and catastrophe theory. Readers will study spaces of Morse and generalized Morse functions, iterated loop spaces of spheres, braid group spaces, and spaces of knots and links. The author, Vassiliev, presents a general method for the topological investigation of these spaces. A major highlight is the introduction of a system of knot invariants that exceeds the power of all known polynomial knot invariants. Additionally, the book examines the deep relationship between topology and complexity theory, making it a significant resource for researchers in these mathematical fields.

Key Features

Part of the Translations of Mathematical Monographs series published by the American Mathematical Society.

Provides a general method for the topological investigation of diverse spaces including Morse functions and braid groups.

Includes a system of knot invariants that is more powerful than all known polynomial knot invariants.

Covers important topics in differential and homotopy topology, algebraic geometry, and catastrophe theory.

Explores the deep relationship between the fields of topology and complexity theory.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
09 February 1995
Listed Since
05 January 2007

Barcode

No barcode data available

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