Topology (ICTP)

My Notes

ICTP youtube and Munkres (2000) Topology with Solutions

Others

Real life applications of Topology :

• Material Physics : Topological Insulators
• String Theory : Twisted K-Theory is used to classify D-branes.
• Robotics : configuration space -> motion plan. Robert Ghrist
• Fractal. Hausdorff metric.
• Morse theory among political scientists and economists.
• Complexity of algorithms has been studied using topological techniques including the Borsuk-Ulam theorem.
• Biology : molecular structures, Knots and DNA
• Topological data analysis