@yigal356
Depends on what " co working location that i found and payed for myself" really means. If you did nothing more there than you would do at home, you still don't meet the convenience of the employer rule*. All your income is taxable by NY. You paying for it, instead of the company, doesn't help your case. Although the company paying for it, alone, would not be enough to meet the conveniece test.
If the "co working location" provided some function that couldn't be accomplished by you working in NY, then maybe that time is not taxable by NY. The one week a month would still be NY source income
*If you work outside the state as a job requirement, you are only subject to New York State income tax on the days you work in New York. But if you work outside New York for your own convenience, you are subject to New York State income tax on all your income. Pennsylvania, Nebraska, Delaware and New Jersey have the same rule. For guidance see: http://www.journalofaccountancy.com/issues/2009/jun/20091371.html
