What is a residence permit granted to a non-deportable person?

An applicant who has been refused a residence permit as a refugee and who subsequently cannot be sent out of Denmark by the Danish authorities can apply for a residence permit as a non-deportable person according to the Danish Aliens Act, Article 9C, section 2. 

Requirements are that the authorities have not been able to deport the rejected applicant for a period of 18 months, that the rejected applicant has cooperated all along with the authorities regarding the deportation, and that the authorities agree that there is no reasonable expectation of a successful deportation. 

The residence permit in this case is temporary, and there are very few people who in fact receive a residence permit as a non-deportable person in Denmark.