2021-03-25

00:08

What is a Kan extension? #todo

• Kan extensions:

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00:09

• What are derived functors in a [[Model category theory|model category]]?

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• What is a Quillen adjunction?

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• What is a Quillen equivalence?

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• What is an [[infinity categories|infinity category]]?

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• What is a topological category?

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• What does it mean for a category to be [[Enriched category|enriched]]?

• What is the homotopy category of a [[Model category theory|model category]]?

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• What is the model structure on (differential graded) vector spaces? What are the fibrations, cofibrations, and weak equivalences?

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• What does an augmented algebra correspond to a pointed affine scheme?

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• How are initial and final objects defined in [[infinity categories|infinity category]]?

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