Applied Topology and Dante (2010)

It’s one of those things that the time has come and it’s clear that the tools that were developed for very abstract, esoteric problems have really concrete value with respect to modern challenges in data, or systems analysis. JC: Could you give an example of how knowing the homology of a data set might tell you something about a physical phenomena? One of the things I’ve used homology theory for is to give criteria that guarantee coverage, that guarantee no holes in your sensor network based exclusive on coordinate-free data.

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