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 "2013 Taksim Gezi Park protests" title seems more proper than the others. Yes, it is true that the protests have spread to many cities in Turkey but currently the sparking point is still on the 'Taksim Gezi Park'. The other cities have begun to protest to support the main protesters in Istanbul from their own locations not necessarily to move and participate directly in Istanbul. 

 News are pouring gradually. And wikipedia users must follow the current events protecting their own objectivity and wiki's policies. 

 However if this event expands to many more locations and evolves from the environmental perspectives to another ones (i.e. political, ideological, anti-government motives), then the title can be changed. 

 One simple example: Think that World War 1 started today (not between 1914-1918). We cannot know and make any assumption that after "the assassination of Archduke Franz Ferdinand of Austria on 28 June 1914" World War 1 started because simply, we cannot know what happens afterwards. Gradually we will learn the events and finally we will change the title as 'World War 1'. 

 Regards,