This is the 280th most frequent Slovak word.
bratislavy
"Bratislavy" is the genitive case of "Bratislava," meaning "of Bratislava," referring to something belonging to or associated with Bratislava, the capital of Slovakia.
The word 'Bratislavy' is used in the genitive case to indicate possession or association, specifically 'the center of Bratislava'.
Navštívili sme hrad v Bratislave a potom sme sa pozreli na centrum Bratislavy.
We visited the castle in Bratislava and then we looked at the center of Bratislava.
'Bratislavy' is again in the genitive case, expressing ownership or description of the 'beauty of Bratislava'.
Obdivovali sme krásy Bratislavy z vyhliadkovej veže na Moste SNP.
We admired the beauty of Bratislava from the observation tower on the SNP Bridge.
Although not in the sentence itself, this indicates a destination (dative case usage would be typical when discussing indirect objects, but Slovak uses genitive or locative constructions for destinations like 'Bratislavy').