CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe introduce the notion of an invariantly universal pair (S,E) where S is an analytic quasi-order and E ⊆ S is an analytic equivalence relation. This means that for any analytic quasi-order R there is a Borel set B invariant under E such that R is Borel bireducible with the restriction of S to B. We prove a general result giving a sufficient condition for invariant universality, and we demonstrate several applications of this theorem by showing that the phenomenon of invariant universality is widespread. In fact it occurs for a great number of complete analytic quasi-orders, arising in different areas of mathematics, when they are paired with natural equivalence relations.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Invariantly universal analytic quasi-orders | |
| Autori: | ||
| Data di pubblicazione: | 2013 | |
| Rivista: | ||
| Abstract: | We introduce the notion of an invariantly universal pair (S,E) where S is an analytic quasi-order and E ⊆ S is an analytic equivalence relation. This means that for any analytic quasi-order R there is a Borel set B invariant under E such that R is Borel bireducible with the restriction of S to B. We prove a general result giving a sufficient condition for invariant universality, and we demonstrate several applications of this theorem by showing that the phenomenon of invariant universality is widespread. In fact it occurs for a great number of complete analytic quasi-orders, arising in different areas of mathematics, when they are paired with natural equivalence relations. | |
| Handle: | http://hdl.handle.net/11567/948944 | |
| Appare nelle tipologie: | 01.01 - Articolo su rivista |
File in questo prodotto:
http://hdl.handle.net/11567/948944
Copyright © 2021