Character mistake: On the Shinkansen train, Cobb says, "I'm getting off in Kyoto." Not exactly wrong, but a moment afterwards they are in Tokyo and you see the Tokyo skyline.
Suggested correction: Yes. He gets off at Kyoto and says "every man for himself." Perhaps this stage of the plan was for him and Arthur to split up to avoid a tail (we do see later that he is being tailed). But regardless of the reason, we see that it is daylight when he leaves the group to get off at Kyoto. Plenty of time for him to be in Tokyo by nightfall.
Stupidity: Cobb convinces Fischer to enter a dream saying it's Browning's dream. A couple of scenes later he says it's Eames' dream, in front of Fischer, who doesn't know Eames was impersonating Browning. (00:51:35)
Suggested correction: Firstly, the Browning that the team "catches" is not Eames, it is a projection of Fischer's subconscious. Eames was only impersonating Browning in the first level. Secondly, Cobb doesn't say they are going into Browning's dream, he says they should put him under and do to him what the kidnappers were planning to do to Fischer. That is, use Fischer as the subject of the next dream level. Fischer knows that Eames is the dreamer on the third level, he even jokingly asks why Eames couldn't dream of a beach. But he thinks that Eames is part of Mr. Charles' security team. He believes that Browning is to be the subject on the last level when in fact, Fischer is the subject on each level. Because of how effective the Mr. Charles gambit was, Fischer is unaware that the team has been fighting his subconscious all along.
