What this “resp.” means? I’m not a native English speaker and not a good math reader too.
My question came while I reading this Debreu article about a existence of a real function to represent the preferences and I’m stuck in this passage:

If $A$, $B$ are two $f$-sets (resp. $i$-sets) and $A \cap B$ is not empty, then $A \cup B$ is an $f$-set (resp. $i$-set).

What’s this “resp.” means?

Resp. is an abbreviation for respectively.
What was written there is a shorter way of saying the following.

If $A,B$ are two f-sets and $A\cap B$ is not empty, then $A\cup B$ is an f-set.


If $A,B$ are two i-sets and $A\cap B$ is not empty, then $A\cup B$ is an i-set.

