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Effectual Topological Complexity

Applied Algebraic Topology Network via YouTube

Overview

Explore the concept of Effectual Topological Complexity, a new version of Topological Complexity (TC) for G-Spaces, in this 29-minute conference talk. Learn about its main properties, including its relationship with standard TC and effective TC. Discover results on Effectual TC for surfaces, with a focus on computing the exact value for the torus. Delve into topics such as Harvard's topological complexity, examples, optimal motion planners, and proofs. Gain insights into this advanced mathematical concept presented by Bárbara M. Gutiérrez as part of the Applied Algebraic Topology Network.

Syllabus

Introduction
Harvards topological complexity
Effectual topological complexity
Examples
Optimal motion planners
Proof

Taught by

Applied Algebraic Topology Network

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