Geometric Topology Vs. Algebraic Topology.

MathematicalPhysicist

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i know that geometric topology is a field that is connected to knot theory, i wonder what are the similarities between the two subjects, and in what subject in particular they overlap?
 

matt grime

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It would appear that the objects of study of geometric topology are a subset of algebraic topology. That subset consisting of low dimensional manifolds. There is presumably, therefore, more of an analytic flavour to its study than general algebraic topology.
 

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