Tell your landlord you want the asbestos address, which means once work is done all dust should be removed and all disturbed surfaces should be sealed and or painted.
If everything is sealed and the dust is cleaned up it shouldn’t matter what your neighbor does.
Don’t get me wrong, asbestos is a health concern but I think constant exposure is what a person needs to worry about. A one time incident, especially if the area is cleaned, should not be of worry.
I worked around asbestos for 3 years 30 years ago so have done my fair share of research. You will find the web sites that preach paranoia but what they don’t tell you is virtually everyone over 50 has had a fair amount of asbestos exposure in their life, beginning with the ceilings in most grade schools.
