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# The Magnitude of Metric Spaces

@inproceedings{Leinster2013TheMO, title={The Magnitude of Metric Spaces}, author={Tom Leinster}, year={2013} }

- Published 2013

Magnitude is a real-valued invariant of metric spaces, analogous to Euler characteristic of topological spaces and cardinality of sets. The definition of magnitude is a special case of a general categorical definition that clarifies the analogies between cardinalitylike invariants in mathematics. Although this motivation is a world away from geometric measure, magnitude, when applied to subsets of R, turns out to be intimately related to invariants such as volume, surface area, perimeter and… CONTINUE READING

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