If you want to reuse the topic styles of the current map on other maps, you can create a Map Style from the style of the current map. The easiest way to do this is to add a new Map Style from the map.
The new Map Style will be available when you create a new map from a style and in the Map Style organizer. When you create a new map using this style, or apply the style to an existing map, the topic styles will appear in the Topic Styles pane.
If you create a Map Template from the current map, the topic styles are saved as part of the template, and will be available when you create a new map using that template