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Surely if you're using double-headed arrows, you don't need to do both M <-> K and K <-> M? (insane levels of pedantry alert).
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They will have 2 duplex convs, 1 each focused on each in turn. In algebraic topology, you specify base point for a cycle. Hah!
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"Never underestimate an IITian's capacity for one-upmanship."
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