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Homotopy Type Theory
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Related lectures (31)
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Homotopy Theory: Cylinders and Path Objects
Covers cylinders, path objects, and homotopy in model categories.
Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Understanding Lifting Properties in Homotopy Theory
Focuses on lifting properties in homotopy theory of chain complexes.
The Whitehead Lemma: Homotopy Equivalence in Model Categories
Explores the Whitehead Lemma, showing when a morphism is a weak equivalence.
Homotopy Theory of Chain Complexes
Explores the homotopy theory of chain complexes over a field, focusing on closure properties and decomposition.
Model Categories: Properties and Structures
Covers the properties and structures of model categories, focusing on factorizations, model structures, and homotopy of continuous maps.
The Topological Künneth Theorem
Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.
Infinity Category Theory: Lecture 2
Explores infinity category theory, covering ABB, Kao-cosmos, homotopy, categories, and equivalences.
Serre model structure: Left and right homotopy
Explores the Serre model structure, focusing on left and right homotopy equivalences.
Serre model structure on Top
Explores the Serre model structure on Top, focusing on right and left homotopy.