A Homological Fibration forGl∞
✍ Scribed by James Stuart Tanton
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 233 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
Given a finite degree field extension E N F of nonfinite fields we show homologi-Ž .
Ž . cally BGl E can be viewed as the total space of fibration with fibre BGl F . Associated with this fibration is a spectral sequence relating the homology of stable linear groups over field extensions.
📜 SIMILAR VOLUMES
We adapt and extend work of Barge to show that, under assumptions on the fundamental group alone, an infinite cyclic cover of a 4-dimensional Poincar~ duality complex with Euler characteristic 0 satisfies Poincar~ duality with local coefficients and so is a 3-dimensional Poincar6 duality complex. Th