Geometry of Derivation, Volume II (eBook)

Part 1: When Quasifibrations become Spreads 1. Quasifibrations 2. Unwrapping 3. Twisted Extensions 4. Semifield Planes from Cyclic Algebras 5. Proper Quasifibrations of Dimension 2 Part 2: Skewfield Flocks-A Window 6. The Main Points and Ideas Part 3: Foundations of Flock Theory 7. Building the Foundation 8. Generic and Non-Generic Flocks Part 4: Framework for Flock Theory 9. Setting up Flock and Spread Connections Part 5: Left s-A Flocks and Spreads 10. Left s - A-Hyperbolic Flocks 11. Left s - A-Conical Flocks; 1st and 2nd Main Theorems 12. The Lower Left Form Theory 13. The 1st General Theorem of Flocks over Skewfields Part 6: Right t - A* Flocks and Spreads 14. t - A* Hyperbolic Flocks 15. Right t - A* Hyperbolic 1st and 2nd Main Theorems 16. t - A* Right Conical Flocks 17. The Right Upper Form Theory 18. Four "Easy" Problems Part 7: The Kaleidoscope of Derivable Nets 19. The Conical and Hyperbolic Isomorphism Questions Part 8: Apps of the Kaleidoscope 20. Resolution and Return-Flock Spreads 21. A Class of Linear 1 - Cc-Conical Flocks Part 9: Double Covers 22. The Left Generic Elation Double Nets Part 10: The Group of Conical Flock Spreads 23. Why Semifields? 24. Omnibus Theorem Part 11: Quaternion Division Ring Variations 25. 1-A Left Conical Spreads 26. Why Unwrapping? Part 12: Left Pseudo-Regulus-Inducing Homology Groups and Transposition 27. Inversing-Right Hyperbolic Spreads