There are no longer recommendations for self-isolation in the event of a positive test. But you are recommended to stay at home if you are sick until you are well again, so that you do not infect others. If your test is positive, but you do not feel sick, you do not need to stay at home.
The National Board of Health recommends that you follow the infection prevention advice, regardless of whether you feel sick or not.
In this connection, staying at home means that you avoid close and long-term contact with others and thus do not attend work, leisure activities or social events, and that children do not attend school, day care etc. This means in particular that you are not with the elderly and the chronically ill, who are more susceptible to infectious diseases. You don't have to isolate yourself completely in your home.