
TL;DR
This chapter introduces fundamental concepts of Algebraic Topology, emphasizing applications in physical sciences and including a review of computational methods like persistent homology.
Contribution
It offers an accessible overview of algebraic topology with a focus on practical applications and computational techniques.
Findings
Introduction to key algebraic topology concepts
Discussion of applications in physical sciences
Overview of computational methods like persistent homology
Abstract
The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences. It finishes with a brief review of computational work in algebraic topology, including persistent homology.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Algebra and Logic · Constraint Satisfaction and Optimization
