Submission date: 16 June 2018

Abstract:

We introduce a notion of mu-structure which are certain locally compact group actions and prove some counterparts of results on Polish structures. Mainly, using the Haar measure of locally compact groups, we introduce an independence notion, called mu-independence, satisfying invariance, symmetry, transitivity, and extension under the assumption of smallness.

Mathematics Subject Classification: Primary 03C45, Secondary 28E15, 20E08

Keywords and phrases: mu-structure, mu-independence, Haar measure

Full text arXiv 1806.06206: pdf, ps.