To get "trapped in the receiving area", (co-op of course) someone(s) has to be at the receiving area (NOT AT AREA 51, BUT WHERE YOU GOT YOUR FIRST SPACESUITS AND WHERE IT ACTUALLY SAID ROUND 1) when the both "escavators" have come down. They will not be able to get out because the "escavators" will be in their way. However, if at least one person stays at the end of the level, they can respawn on him, therefore "freeing yourself through resurrection".
There are a couple ways to do this.
1. (recommended) Someone someone has to get a girsh device and wait until both tunnels have the "escavator" in them (chambers 6 and 11, not the biodome). Then, make a crawler at the end of a round. Everyone should use the teleporter (the teleporter is at the end of the level, when the paths splits between biodome and outside, you choose outside and go to your right). When everyone has come back to the moon, have the person with the girsh device throw it and whoever will not get the achievement (only three can get it at once) will go through it. The others will down themselves by running through the saw or cooking a grenade until it blows up. When everyone has finished bleeding out, the person who went through the girsh device will kill the crawler and the other players will get the achievement. If you wish, the person who didn't get the achievement can get it next round (presuming they were the one with the girsh device).
2. This requires that you to run to the initial spawn point when you hear the announcement of the second "escavator" going to crush the second passage way. The three people have to sprint through the last chamber before the saw breaches it to become trapped (remember, one must stay behind). Once it closes, they kill themselves and the other player just needs to survive the round. This is harder than the first method, and not recommended.
The crushers come down after a certain amount of time. The order they come down and how long it takes them to activate is completely random. You could have the two crushers down minutes after activating the power or the first come in three hours (remember these are extremes, however, theoreticly possible). I would recommend not hacking any of the crushers, including the cosmodome one. If it is the cosmodome one, at least it won't come down again if you don't hack it, therefore increasing your odds of getting the chamber 6 and 11 ones.
I believe it is possible on splitscreen co-op, but it is more difficult.
Please leave comments on how I can improve my solution. I am always open to suggestions.