Abstract
Magnitude is a numerical isometric invariant of metric spaces, whose definition arises from a precise analogy between categories and metric spaces. Despite this exotic provenance, magnitude turns out to encode many invariants from integral geometry and geometric measure theory, including volume, capacity, dimension, and intrinsic volumes. This paper will give an overview of the theory of magnitude, from its categorytheoretic genesis to its connections with these geometric quantities.
Original language  English 

Title of host publication  Measure Theory in NonSmooth Spaces 
Publisher  De Gruyter Open 
Pages  156193 
Number of pages  32 
DOIs  
Publication status  Published  2017 
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Tom Leinster
 School of Mathematics  Personal Chair of Category Theory
Person: Academic: Research Active