A landlord has a duty to provide "habitable" premises. You don't say if you the one paying for electricity for the space heaters, I suspect you are. The landlord should give you some way to maintain a comfortable temperature, or you should give 30day notice move on.
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I agree with the other attorney.. the issue is what is habitable..you do not give temperatures of what you consider comfortable .. ask them to keep it minimum 68 F in the winter which is with EPA guidelines .. Plus you can always ask..and if it gets unbearable you can probably claim its uninhabitable and break your lease if you want .. but do it right.. write out several letters and send them to your landlord. keep copies so you have records of yhour complaints.
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