# I've put a large bounty to get the attention or to get a good answer, I got neither.

I put a large bounty on this question to get a full detailed answer or to at least to draw some attention and get it up-voted. The bounty ends tomorrow and I got none.

What should I do? I feel maybe the question belongs to MO.

• One problem is that the question is awfully broad. Another is that a lot of the kinds of topologies that you talk about (minimal/maximal with property $P$) don’t in general exist, so it’s very hard to know what sorts of lattice or partial order topologies on $\mathscr{T}$ or $\mathscr{T}/\sim$ might be at all helpful. I did just now add a couple of references on minimal topologies of various sorts and a pointer to some topologies on partial orders that have been studied. – Brian M. Scott Dec 16 '13 at 10:09

If you revise the question as Sergio suggested, you might use the occasion to modify the wording, currently in the fifth paragraph, that seems to refer to $\mathcal T(X)/\sim$ as a lattice. Although $\mathcal T(X)$ is a latice, I don't think $\mathcal T(X)/\sim$ is one.