That symbol (it's a Sword) marks cities with a Barracks in the epic game -- or any other building with the 'Produces veteran units' Editor-flag in a mod (which you seem to be playing? Whose Earth-map is that?).
It's a helpful reminder of where you can upgrade units (e.g. Warriors --> Swordsmen), and where injured units can be healed in one turn (when they have full movement-points available).
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