Some conjectures in general topology

### What is the conjecture
A nice list of open 20 problems can be found in
https://www.math.md/files/basm/y2013-n2-3/y2013-n2-3-(pp37-46).pdf.pdf

As far as I can tell (by going over citations in Google scholar), so far all are still open except Problem 11, which has been solved in
https://arxiv.org/pdf/2006.12675

Like usual in set theory related topics, many of the problems are known to be true under CH or some other additional axiom. A formalisation should probably reflect that.

Problem 1 is PR #1810.

I think this would be nice to have, as right now the repository basically only contains one conjecture in topology at all (#1776).

### Prerequisites needed
Most likely all problems need some sort of additional definition, but this is typically a fairly easy task.

### [AMS categories](https://github.com/google-deepmind/formal-conjectures/labels?q=ams-)

* ams-54

### Choose either option
- [ ] I plan on adding this conjecture to the repository
- [x] This issue is up for grabs: I would like to see this conjecture added by somebody else

Start with the linked PDF and choose one of the still-open problems, then inspect PR #1810 and conjecture #1776 for repository conventions. Check the cited arXiv paper when assessing Problem 11. Done means the selected conjecture and any needed definitions or additional axioms are formalized in the repository.

Written by the indexing model from the issue text.