Cover Schemes, Frame-Valued Sets and Their Potential Uses in Spacetime Physics
| dc.creator | Bell, John L. | |
| dc.date | 2003-01-09 | |
| dc.date | 2003-01-11 | |
| dc.date.accessioned | 2026-07-07T03:27:31Z | |
| dc.date.available | 2026-07-07T03:27:31Z | |
| dc.description | The immensely fruitful concept of Grothendieck topology or covering issued from the efforts of algebraic geometers to study "sheaf-like" objects defined on categories more general than the lattice of open sets on a topological space. In the present paper the covering concept - here called a cover scheme -is presented and developed in the simple case when the underlying category is a preordered set. The relationship between cover schemes, frames (complete Heyting algebras), Kripke models, and frame-valued set theory is discussed. Finally cover schemes and frame-valued set theory are applied in the context of Markopoulou's 1999 account of discrete spacetime as sets "evolving" over a causal set. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0301034 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0301034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34461 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Cover Schemes, Frame-Valued Sets and Their Potential Uses in Spacetime Physics | |
| dc.type | text |