arXiv:math/0106003 Abstract

arXiv:math/0106003 [math.LO]Abstract References Reviews Resources

Nonstandard Analysis of Graphs

Published 2001-06-01, updated 2001-09-27Version 3

This paper shows certain classes of metric spaces characterized by volume growth properties of balls can viewed as graphs with infinitesimal edges. Our approach is based on nonstandard analysis.

Comments: 31 pages. Added references. Corrected various errors (e.g. replaced an occurrence of "reals" with "hyperreals" and and several occurrences of the symbol for open ball with that for closed ball). Added details of some proofs

Categories: math.LO

Subjects: 03H05, 05C12, 28E05

Keywords: nonstandard analysis, volume growth properties, infinitesimal edges, metric spaces

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Nonstandard Analysis of Graphs

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Nonstandard Analysis of Graphs

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