###
Petersburg Department of Steklov Institute of Mathematics

#
PREPRINT 3/1998

A.M.Vershik and Yu.V.Yakubovich
##
ON CONTINUOUS PARTITION LATTICE

This preprint was accepted January, 1998

Contact:
` A.M.Vershik and Yu.V.Yakubovich `

ABSTRACT:
In this paper we deal with some class of continuous partition
lattices, introduced by A. Bjorner in 1987 as a limit of finite partition
lattices. We describe the direct way how to construct the continuous
partition lattice in terms of measurable partitions of the
measure space and present a simple realization of such lattices.
Secondly, we give a representation of continuous
partition lattice in a factor of type II_1 and in the
continuous geometries in the sense of von~Neumann. Thirdly, the
continuous hyperfinite partition lattice is used to state and solve
one natural asymptotical problem.

Back to all preprints

Back to the Petersburg Department of
Steklov Institute of Mathematics