This is the 698th most frequent Slovak word.
banská
The Slovak word "banská" means "mining" or "related to mines."
Here, 'Banská' is part of the proper noun 'Banská Bystrica', the name of a city in Slovakia.
Banská Bystrica je krásne mesto.
Banská Bystrica is a beautiful city.
In this case, 'banská' is an adjective that describes 'štôlňa' (shaft), indicating something related to mines or mining.
Tá banská štôlňa je veľmi stará.
That mining shaft is very old.
Here, 'banských' is the plural genitive form of the adjective 'banská', referring to towns associated with mining.