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I was wondering if it would be possible during the Norman-Byzatine conflicts for the Normans to conquer Constantinople.
If the Investiture Controversy is delayed and Guiscard doesn't have to return to Italy to defend the Pope, then maybe he could continue winning against Alexios?
If Alexios dies when his bodyguard is ambushed by the Normans at the Battle of Dyrrhachium?
Are either of these plausible PODs to achieve a Norman ruled Byzantine Empire?