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Why Homotopy
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Classroom Contents
Lie Algebras and Homotopy Theory - Jacob Lurie
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- 1 Intro
- 2 Definition of Lie Algebra
- 3 How Lie Algebra arose in mathematics
- 4 The fundamental group of X
- 5 The fundamental group structure
- 6 The Whitehead bracket
- 7 Lie algebras
- 8 Why Homotopy
- 9 Homotopy Operations
- 10 Hilton Milner Theorem
- 11 Rational Homotopy
- 12 Quillins Theorem
- 13 Differential Graded Lie Algebra
- 14 Quillens Theorem
- 15 Quilllens Theorem
- 16 Defining Lie Algebra
- 17 Defining A
- 18 Derived Categories
