Acting via a map-acceptable abuse of language?

25 Views Asked by At

Say we have some (geometric) object, let it be a binary tree $T$. Say we have a map $f$ which rotates $T$ at some certain nodes, let's say that it rotates the tree at the nodes labelled by odd numbers (assume that labelling\relabelling after rotation etc. has been appropriately fixed beforehand). Can I then say that $f$ acts on $T$ (via rotating etc. etc.)? Is such abuse of notation tolerated and understood?