A Proposal on Method  If we look at what entities existed at the point the Alliance of the Big 3 came into existence, which would be after Pearl Harbor when Hitler declared war on the U.S.  From that point on "the lines were drawn" with relatively few changes (Italy, Polish People's Army, and we can also deal with the origins of America's Two China Policy and all the problems that created later vis-avis Kuomintang and PLA.)  This will leave us referencing the French Third Republic, Free French and Vichy regime and no overall France (remember, all books speak of a period of time when Britain "stood alone", their "finest hour", "never have so few..." etc. when there was no France.  Personally, I prefer using the language current at the time, the governments in exile (WWII) should be simply London exiles.  Overall, we are discussing Allied forces and Allied regimes.   Forces Françaises Libres is a force, Comité National Français (French National Committee) is a regime. Polish government in exile was an Allied regime, its force in the field was the Polish Home Army.  The CCP was an regime allied to the Soviet Union, its force in the field was the PLA.  Returning to the issue of France: the French Occupation forces occuping the French Zone in 1945 were not made up of what became the legimate successor state of the Third Republic.  Vichy, in fact  was the legitimate successor to that regime.  Ultimately, the Fourth Republic took a seat on the UN Security Council, after the Fourth Republic came into existence in 1946.  To steal a phrase from Metternich, "France is a geographical entity" when discussing WWII.