I want to know if profinite sets have the following properties:
any surjective family of continuous maps $V_i\to U$ of profinite sets has a subfamily which is already a surjective family? This is to be compared with this result.
a continuous map between profinite sets is an open map?
any open s...
I do not know anything about profinite sets. (In fact, I haven't heard much about profinite groups either - but I know that name and I know that there is such tag both here and on MO.)
If a function is the composition of two continuous functions, it is also continuous on its domain.
Is the reverse true?
I mean if a function can be rewritten as the composition of any two other functions and is continuous, then are the other two also continuous? In other words, is the comp...
I want to know if profinite sets have the following properties:
any surjective family of continuous maps $V_i\to U$ of profinite sets has a subfamily which is already a surjective family? This is to be compared with this result.
a continuous map between profinite sets is an open map?
any open s...
If a function is the composition of two continuous functions, it is also continuous on its domain.
Is the reverse true?
I mean if a function can be rewritten as the composition of any two other functions and is continuous, then are the other two also continuous? In other words, is the comp...
