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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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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 …