There isn't one specific "Cosmonaut space lab" name. The term "cosmonaut" refers to a Russian or Soviet astronaut, and they have been involved in various space labs and stations throughout history. Here are some notable examples:

* Salyut series: These were the first space stations launched by the Soviet Union. They were used for various experiments and research, and cosmonauts lived and worked aboard them.

* Mir space station: This was the first modular space station, assembled in orbit from 1986 to 2001. Cosmonauts were key to its construction and operation.

* International Space Station (ISS): While the ISS is an international project, Russian cosmonauts have been integral to its construction, operation, and research.

So, it's more accurate to talk about specific space stations or labs associated with cosmonauts rather than a singular "Cosmonaut space lab."