it depends on how the two "parts" of your education is considered - as
two individual educations or one full education.
1) IF IT IS CONSIDERED AS TWO EDUCATIONS:
Then you should get registered with graduate status
after completing Top-Up. For qualifying for graduate rights the TOP-UP
must in it self be of a duration of at least 18 months.
And if this is the case, then it is important that you were in Denmark 1
day before starting TOP-UP and again at latest 14 days after finishing
However we always recommend people to have their graduate rights registered in the A-kasse, already after finishing AP. In this way you can use your rights to begin to receive dagpenge, up to two years after finishing AP. This will be good to have this option, if you later drop out of the Top-UP or go on leave.
2) IF IT IS CONSIDERED AS 1 EDUCATION:
Then it is important that you were in Denmark 1 day before starting AP
and and again at latest 14 days after finishing TOP-UP/graduation.
Whether the AP and TOP-UP must be considered as 1 or two educations, I
am not qualified to tell you. You must contact the study-office at your
education and ask them.
The option to get graduate rights in A-kasse based on a full education consisting of "two parts", is especially relevant if the Top-UP not in it self qualify for dagpenge as an graduate, because it has an duration shorter than 18 months.