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Lecture
Contracting Subspaces
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Related lectures (32)
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Group Actions: Quotients and Homomorphisms
Discusses group actions, quotients, and homomorphisms, emphasizing practical implications for various groups and the construction of complex projective spaces.
Elementary Properties of Model Categories
Covers the elementary properties of model categories, emphasizing the duality between fibrations and cofibrations.
Examples of Quasicategories
Explores examples of quasicategories, focusing on Kan complexes and Nerves of categories.
Model Categories: Properties and Structures
Covers the properties and structures of model categories, focusing on factorizations, model structures, and homotopy of continuous maps.
Homotopic Extension Problem
Explores solving the homotopic extension problem, constructing relative CW complexes, and ensuring uniqueness in CW approximations.
The Whitehead Lemma: Homotopy Equivalence in Model Categories
Explores the Whitehead Lemma, showing when a morphism is a weak equivalence.
Relative Homotopy Groups
Covers relative homotopy groups, establishing long exact sequences and defining boundary homomorphisms.
Transformations and Inversions: Laplace and Fourier
Discusses Laplace and Fourier transformations, focusing on their inversion formulas and applications in solving differential equations.
Fubini's Rule for Pushouts
Explores the Fubini Rule for pushouts, emphasizing the importance of transforming diagrams for maintaining pushout properties.
The Topological Künneth Theorem
Explores the topological Künneth Theorem, emphasizing commutativity and homotopy equivalence in chain complexes.
