Generalization To Model Categories
In any model category, a weak equivalence between cofibrant-fibrant objects is a homotopy equivalence.
Read more about this topic: Whitehead Theorem
Famous quotes containing the words model and/or categories:
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—Henrik Ibsen (1828–1906)
“all the categories which we employ to describe conscious mental acts, such as ideas, purposes, resolutions, and so on, can be applied to ... these latent states.”
—Sigmund Freud (1856–1939)
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