Re: France fights on in North Africa
With North Africa in French hands, as well as Corsica and possibly some area in the Alps (don't forget that the Italian offensive of June1940 was a total failure there). It would have been possible for the allies to bring reinforcements to Corsica. There would have been no Afrika Korps in North Africa, Lubia would have been an easier prey and instead of landing at Sicilly the allies could have opted for central Italy or southern France via Corsica.
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