Questions tagged [calculus-of-functors]
Calculus of functors is a tool for studying functors between categories, analogous to the Taylor expansion of a real-valued function. It was originated by Thomas Goodwillie for studying spaces of concordances / pseudo-isotopy embeddings.
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Calculus of Functors and Model categories
In Calculus of functors and model categories II Biedermann and Rondigs claim in Corollary 6.18 that the $n$-homogeneous model structure on $\mathrm{Fun}(\mathcal{C}, \mathcal{D})$ is stable if $\...
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Homotopy functor calculus vs functor calculus in additive categories
Consider the Goodwillie calculus of a homotopy functor $F : \mathrm{Sp} \to \mathrm{Sp}$, where $\mathrm{Sp}$ denotes an appropriate model for spectra (... orthogonal spectra for instance).
Then ...
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A question on decreasing function [closed]
Let $t\in (0,1)$ and
${a_n}{x^n} + .... + {a_1}{x^1} + f(t) = 0$
$f(t) $ is continuous decreasing function of $t$.
$a_i\ge0$ for all $i$.
$y(t)$ is positive real zero of the first equition.
Can we ...
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Surveys of Goodwillie Calculus
Is there a good general introduction to Goodwillie calculus out there, like a paper or publication that gives a general overview of the calculus as well as how it is useful and why we are interested ...
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A reference for Calculus of Functors for Model Categories
I am wondering where I might look to see what has been done in terms of Calculus of Functors for more general weak equivalences and Model Categories.
I am at least aware of some of the extended ...
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Seeing stacks in the Calculus of Functors
Recently I was told (by an algebraic geometer) that when algebraic geometers look at the Calculus of Functors, they think of stacks.
When I look at the Calculus of Functors, I see a categorification ...
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