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Title: Rectifiability results for ι³∞
Author: Lorent, Andrew
ISNI:       0000 0001 3612 7773
Awarding Body: University of London
Current Institution: University College London (University of London)
Date of Award: 1999
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As a first step to generalising Rectifiability and Density Results, Radon measures with density properties with respect to the cube are studied. For reasons of isometric immersion of metric spaces into l∞ and the extremal nature of l3∞ among finite dimensional normed vector spaces, the question of rectifiability of such measures is the simplest unknown case of any generalisation. It is proved that locally 2-uniform measures in l3∞ have rectifiable subsets in all neighbourhoods of all points of their support. By a well known theorem on tangent measures an immediate Corollary to this is that measures with positive finite 2-density almost everywhere have weak tangents.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Pure mathematics