Geometry and Analysis of Metric Spaces Via Weighted Partitions
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The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a partition (an iterated decomposition) of a compact metric space. Via a partition, a compact metric space is associated with an infinite graph whose boundary is the original space. Metrics and measures on the space are then studied from an integrated point of view as weights of the partition. In the course of the...
Format:Paperback
Language:English
ISBN:3030541533
ISBN13:9783030541538
Release Date:November 2020
Publisher:Springer
Length:164 Pages
Weight:0.56 lbs.
Dimensions:0.4" x 6.1" x 9.2"
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