Corpus ID: 119157235

# Canonization of smooth equivalence relations on infinite-dimensional perfect cubes

@article{Kanovei2018CanonizationOS,
title={Canonization of smooth equivalence relations on infinite-dimensional perfect cubes},
author={Vladimir Kanovei and Vassily A. Lyubetsky},
journal={arXiv: Logic},
year={2018}
}
• Published 2018
• Mathematics
• arXiv: Logic
• A canonization scheme for smooth equivalence relations on $\mathbb R^\omega$ modulo restriction to infinite perfect products is proposed. It shows that given a pair of Borel smooth equivalence relations $\mathsf E,\mathsf F$ on $\mathbb R^\omega$, there is an infinite perfect product $P\subseteq\mathbb R^\omega$ such that either ${\mathsf F}\subseteq{\mathsf E}$ on $P$, or, for some $j<\omega$, the following is true for all $x,y\in P$: $x\,\mathsf E \,y$ implies $x(j)=y(j)$, and \$x\restriction… CONTINUE READING
2

#### References

##### Publications referenced by this paper.
SHOWING 1-4 OF 4 REFERENCES

## Non-Glimm–Effros equivalence relations at second projective level

• FUNDAMENTA MATHEMATICAE
• 2007
VIEW 8 EXCERPTS
HIGHLY INFLUENTIAL

## Canonical Ramsey Theory on Polish Spaces

• Mathematics
• 2013

## Iterated perfect-set forcing

• Mathematics
• 1979
VIEW 8 EXCERPTS
HIGHLY INFLUENTIAL

## Baumgartner and Richard Laver . Iterated perfect - set forcing

• E. James
• Ann . Math . Logic
• 1979