TY - BOOK ID - 147838319 TI - Classes of Polish spaces under effective Borel isomorphism PY - 2015 SN - 1470428229 PB - Providence, Rhode Island : American Mathematical Society, DB - UniCat KW - Polish spaces (Mathematics) KW - Metric spaces. KW - Isomorphisms (Mathematics) UR - https://www.unicat.be/uniCat?func=search&query=sysid:147838319 AB - The author studies the equivalence classes under Delta^1_1 isomorphism, otherwise effective Borel isomorphism, between complete separable metric spaces which admit a recursive presentation and he shows the existence of strictly increasing and strictly decreasing sequences as well as of infinite antichains under the natural notion of Delta^1_1-reduction, as opposed to the non-effective case, where only two such classes exist, the one of the Baire space and the one of the naturals. ER -