I was thinking about the number of polar-capable surface warships.

The Danish Navy has currently:
7 armed patrol ships with ice-breaking capabilities (Thetis and Knud Rasmussen class, both classes designed to be easily upgraded by bolting on additional weapons on Stanflex modules), new ones (more heavily armed) to replace the Thetis class are ordered
5 frigates designed for arctic service in mind (Absalon and Iver Huitfeld class), new ones to replace the Iver Huitfeld class will be soon ordered

The comparison to the much larger US Navy is interesting:
0 armed patrol ships with ice-breaking capabilities (also 0 ordered)
0 surface fighting ships designed for the service in the Arctic in mind (also 0 ordered)

And to the largest navy (in regard of number of ships), the Chinese one (PLAN):
0 armed patrol ships with ice-breaking capabilities (also 0 ordered)
0 surface fighting ships designed for the service in the Arctic in mind (also 0 ordered)

With "armed" I refer to ships more heavily armed than ships with some machine guns on board (every ship can ship some machine guns).

The Danish navy is small, but its ship are designed to be used around Greenland and are either based there or regularly deployed to Greenland. The current programs are aimed to improve these capabilities, both the in regard of patrolling with armed vessels, but also the fighting ability.