What do you think which notation is better to read?
The set $B^{high} = {b_1, \ldots, b_n}$ should indicate the set of all buildings which are high and $B^{low} = {b_1, \ldots, b_n}$ all buildings which are low. Now I have the following options to write this down:
$B^{high}$seems to be wrong, because Tex treats each letter like it was a variable$B^\mathit{high}$maybe correct$B^\text{high}$correct if the word high is descriptive and is not part of the letter for the set (but I'm not sure if this is the case)$B^\textnormal{high}$same as above, but better if the math mode could be in a surrounding italic text or similar
For a concrete element of the set I would write $b_i \in B^high$. Would you leave both b and i in italic or should the subscript be upright?
$B^{\text{high}}$and$B_{\text{low}}$since bothhighandlowprovides textual context rather than math symbols. Never$B^high$nor$B_low$(since only the first letter will be considered a super-/subscript). – Werner Jul 03 '14 at 19:27