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Higher Algebra - people.math.harvard.edu

Higher AlgebraSeptember 18, 2017 Contents1 Stable Foundations .. Homotopy Category of a Stable -Category .. Properties of Stable -Categories .. Functors .. Stable -Categories and Homological Algebra .. on Stable -Categories .. Objects and Spectral Sequences .. Dold-Kan Correspondence .. -Categorical Dold-Kan Correspondence .. Homological Algebra and Derived Categories .. of Differential Graded Categories .. -Categories .. Universal Property ofD (A) .. Quasi-Isomorphisms .. Abelian Categories .. Spectra and Stabilization .. Brown Representability Theorem .. Objects .. -Category of Spectra .. Stable -Categories .. 1542 Foundations .. Colored Operads to -Operads.

to Yoneda’s lemma, this property determines the space Zup to homotopy equivalence. Moreover, since the functor X7!K(X) takes values in the category of commutative rings, the topological space Z is automatically a commutative ring object in the homotopy category H of topological spaces.

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Sequences and Series: An Introduction to Mathematical Analysis

people.math.harvard.edu

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people.math.harvard.edu

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Lie algebras - people.math.harvard.edu

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Topology - people.math.harvard.edu

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