Tagged Questions
13
votes
0answers
193 views
What is the algebraic structure of functions with fixed points?
So I just noticed that the set of functions with a fixed point
$$f(x_0)=x_0,$$
are closed under composition
$$(f*g)(x):=g(f(x)),$$
and with $e(x)=x$, the inverible functions even seem to form a ...
2
votes
2answers
181 views
What does the word “ideal” mean in this context?
I'm confused about a terminology.
In Frank W. Warner's book Foundations of Differentiable Manifolds and Lie Groups, it says on page 12
Let $F_m$, a subset of $\bar{F_m}$ (the set of germs at ...
