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Book Categories |
Preface | ||
Lecture Series 1 | Differential Fields | 1 |
Ch. 1 | Differential Fields | 3 |
1.1 | Basics | 3 |
1.2 | Varieties, differential varieties and tangent bundles | 18 |
1.3 | Strongly minimal sets of [delta]-degree 1 | 27 |
1.4 | Kolchin's logarithmic derivative | 31 |
1.5 | Prologations, torsors and the Buium-Manin homomorphism | 35 |
1.6 | Manin's construction | 40 |
Lecture Series 2 | Lectures on o-Minimality | 47 |
Ch. 1 | Lectures on o-Minimality | 49 |
1.1 | Adding exponentiation | 49 |
1.2 | T-convexity and tame extensions | 52 |
1.3 | Piecewise linearity | 56 |
1.4 | The Wilkie inequality | 58 |
1.5 | The valuation property | 61 |
Lecture Series 3 | Tame Congrugence Theory | 67 |
Ch. 1 | The Structure of Finite Algebra | 69 |
1.1 | Palfy's theorem | 69 |
1.2 | Localization and relativization | 72 |
1.3 | Centrality | 79 |
1.4 | Labelled congruence lattices | 87 |
Ch. 2 | Varieties | 89 |
2.1 | Subdirectly irreducibles | 89 |
2.2 | Facts about the abelian condition | 92 |
2.3 | The case typ (0,[mu] = 2) | 94 |
2.4 | The case typ{S} = {1} | 95 |
2.5 | The residually large configuration | 97 |
2.6 | The case type {S} = {1,2} | 102 |
2.7 | Multitraces | 104 |
2.8 | Parallelism | 107 |
Bibliography | 113 |
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Add Lectures on Algebraic Model Theory, In recent years, model theory has had remarkable success in solving important problems as well as in shedding new light on our understanding of them. The three lectures collected here present recent developments in three such areas: Anand Pillay on differ, Lectures on Algebraic Model Theory to the inventory that you are selling on WonderClubX
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Add Lectures on Algebraic Model Theory, In recent years, model theory has had remarkable success in solving important problems as well as in shedding new light on our understanding of them. The three lectures collected here present recent developments in three such areas: Anand Pillay on differ, Lectures on Algebraic Model Theory to your collection on WonderClub |