Can I Deduct From Rent For Furnace Not Being Fixed ?

I rent a house and my furnace is broken. I have 3 kids and we have been without heat since Wednesday night. ( 5 nights now). My landlord has had someone look at it and the repairman claims he has to order parts and will not be fixed until the end of the week. At that point it will be well over a week with no heat. Landlord hasn’t offered me a heater or anyway to stay warm. I have nowhere else I can stay. Can I deduct money from my rent for the time I was without heat ? I live in NY.

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