A characterization property on field equivalent to algebraicity on Banach spaces
| dc.creator | Breton, Xavier Le | |
| dc.date | 2007-06-28 | |
| dc.date.accessioned | 2026-07-07T08:12:52Z | |
| dc.date.available | 2026-07-07T08:12:52Z | |
| dc.description | In his article "A discrete form of the theorem that each field endomorphism of $\mathbb{R}$ ($\mathbb{Q}_p$) is the identity", Tyszka introduce a logical property which is equivalent to algebraicity in $\mathbb{R}$ and in $\mathbb{Q}_p$. Amazingly, the property is no longer equivalent to algebraicity in $\mathbb{C}$. This article present a similirar property which is equivalent to algebraicity in any field of characteristic zero which is also a Banach space, and prove a weaker equivalency for fields of positive charcteristic (which are also Banach spaces). | |
| dc.identifier | https://arxiv.org/abs/0706.4181 | |
| dc.identifier | http://arxiv.org/abs/0706.4181 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132603 | |
| dc.subject | Number Theory | |
| dc.subject | Logic | |
| dc.title | A characterization property on field equivalent to algebraicity on Banach spaces | |
| dc.type | text |