Geometry and Analysis of Metric Spaces Via Weighted Partitions 2020 Edition Contributor(s): Kigami, Jun (Author) |
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ISBN: 3030541533 ISBN-13: 9783030541538 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: November 2020 |
Additional Information |
BISAC Categories: - Mathematics | Geometry - Non-euclidean - Mathematics | Mathematical Analysis - Mathematics | Topology - General |
Physical Information: 0.37" H x 6.14" W x 9.21" (0.56 lbs) 164 pages |
Descriptions, Reviews, Etc. |
Publisher Description: 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 text:
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