Solve that and the health crisis is gone: richer cooking aficionados will install chimneys, and miserly landlords will install electric appliances.
Range hoods with powered vents are required, by code, basically everywhere in the US and Canada.
In fact, many code jurisdictions are sophisticated enough to require make-up air ducts, etc.
These building codes specify vertical distance from the rangetop, CFM rating, and hood area (which typically overlaps the range area by 2-4 inches on each side).
EDIT: To clear up some confusion - most code jurisdictions don't force you to update existing installs unless you are rebuilding/remodeling - so if you have an older apartment/home ... who knows. New construction is going to vent gas ranges to the outdoors.
Typically they have removable metal screens that can be cleaned.
Otherwise they do nothing to vent smoke or purify air.
The majority of apartments I've lived in, in NYC, do not have range hoods at all.
Ones that had been remodeled in the past 10 years had a range vent that just went through a useless mesh "filter" and straight back into the apartment.
The only working range hood (vented to outside) I've ever had is in my current building which was constructed less than five years ago.
Maybe it's required for new construction, but in a place like NYC the vast majority of apartments aren't new, and certainly don't have range hoods.
Is "powered vent" supposed to imply exhausting to the exterior? While every home I've seen does have some sort of powered vent over a gas range, the overwhelming majority of them have recirculating vents rather external venting.
Some sort of fan is required.
That fan is often a down draft vent, or a vent that rises up from the back of the stove and sucks horizontally THEN down.
These horrible setups are popular even in luxury construction. They do look nice after all.
That said I am wondering if maybe they are better for NO2 emissions.
They are terrible in every other way though, but are quite legal as indicated by their presence in new construction.