algebraic topology
nounDefinition of algebraic topology
: a branch of mathematics that focuses on the application of techniques from abstract algebra to problems of topology In the past fifteen years, knot theory has unexpectedly expanded in scope and usefulness. It had been an interesting application of algebraic topology since the 1900s and a pastime for those folks with a categorizing bent who would sort knots before that. —Michael McDaniel, Math Horizons, November 2003
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