# Varia: Ideals and Equivalence Relations, beta-version

@article{Kanovei2006VariaIA, title={Varia: Ideals and Equivalence Relations, beta-version}, author={Vladimir Kanovei}, journal={arXiv: Logic}, year={2006} }

We present a selection of basic results on Borel reducibility of Borel ideals and equivalence relations, especially those with comparably short proofs. The focal point are reducibility/irreducibility results related to some special equivalences like $E_0, E_1, E_2, E_3, E_\infty, Z_0,$ and Banach-induced equivalences $l_p,$ in particular several dichotomy theorems. The bulk of results included in the book were obtained in the 1990s, but some rather recent theorems are presented as well, like…

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