@BalarkaSen Remeber I was telling you of meeting an ISI M Math interview guy who admitted that he had no fucking idea of compactness ? Well now that results are out I have seriously no fucking idea (I remember he telling to someone near me after the interview that he couldn't even prove that if a, b are nilpotent then a+b need not to be nilpotent even after crapload of hints and time) how he got selected in M Math that too with a single digit rank...