Topology Proceedings Document # baak-07
topology proceedings
Electronic Version 24 Summer (1999)

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Measures on Cantor Space

Ethan Akin

We construct an uncountable family of topologically distinct measures on the Cantor set. These measures are all rigid, i.e. the identity is the only measure preserving automorphism. On the way to the construction we classify the order isomorphism classes of full, monotonic measures on an ordered Cantor space.

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Copyright © 2001 Nipissing University and Topology Atlas | Date published electronically: March 5, 2001.