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Goodwillie Approximations to Higher Categories
Goodwillie Approximations to Higher Categories
by Heuts, Gijs
in Algebraic topology / Algebraic topology -- Applied homological algebra and category theory -- Abstract and axiomatic homotopy theory. msc / Algebraic topology -- Applied homological algebra and category theory -- Topological categories, foundations of homotopy theory. msc / Algebraic topology -- Homotopy theory -- Classification of homotopy type. msc / Algebraic topology -- Homotopy theory -- Homotopy functors. msc / Algebraic topology -- Homotopy theory. msc / Class field towers / Homotopy groups / Spectral sequences (Mathematics)
2021
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Goodwillie Approximations to Higher Categories
by Heuts, Gijs
in Algebraic topology / Algebraic topology -- Applied homological algebra and category theory -- Abstract and axiomatic homotopy theory. msc / Algebraic topology -- Applied homological algebra and category theory -- Topological categories, foundations of homotopy theory. msc / Algebraic topology -- Homotopy theory -- Classification of homotopy type. msc / Algebraic topology -- Homotopy theory -- Homotopy functors. msc / Algebraic topology -- Homotopy theory. msc / Class field towers / Homotopy groups / Spectral sequences (Mathematics)
2021
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Goodwillie Approximations to Higher Categories
Goodwillie Approximations to Higher Categories
by Heuts, Gijs
in Algebraic topology / Algebraic topology -- Applied homological algebra and category theory -- Abstract and axiomatic homotopy theory. msc / Algebraic topology -- Applied homological algebra and category theory -- Topological categories, foundations of homotopy theory. msc / Algebraic topology -- Homotopy theory -- Classification of homotopy type. msc / Algebraic topology -- Homotopy theory -- Homotopy functors. msc / Algebraic topology -- Homotopy theory. msc / Class field towers / Homotopy groups / Spectral sequences (Mathematics)
2021

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Goodwillie Approximations to Higher Categories
Goodwillie Approximations to Higher Categories
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Goodwillie Approximations to Higher Categories

Heuts, Gijs
2021
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Overview
We construct a Goodwillie tower of categories which interpolates between the category of pointed spaces and the category of spectra. This tower of categories refines the Goodwillie tower of the identity functor in a precise sense. More generally, we construct such a tower for a large class of
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Publisher
American Mathematical Society
Subject

Algebraic topology

/ Algebraic topology -- Applied homological algebra and category theory -- Abstract and axiomatic homotopy theory. msc

/ Algebraic topology -- Applied homological algebra and category theory -- Topological categories, foundations of homotopy theory. msc

/ Algebraic topology -- Homotopy theory -- Classification of homotopy type. msc

/ Algebraic topology -- Homotopy theory -- Homotopy functors. msc

/ Algebraic topology -- Homotopy theory. msc

/ Class field towers

/ Homotopy groups

/ Spectral sequences (Mathematics)

ISBN
9781470448936, 1470448939

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