This may not be a legal apartment. You may have to go along to get along. If you make too much of a fuss you may be given a 1 month notice to move out.

I would not be surprised to learn that you are a month-to-month tenant and do not have a lease.

Edit: Keep a window open/cracked. I'm not sure those old gas space heaters are legal or considered safe anymore. Make sure you have a carbon monoxide detector.

Your landlord is not going by the rules, take it or leave it.