Final answer:
Multiplexing is the technology that allows multiple devices to be connected to each other without needing direct connections between them.
Step-by-step explanation:
The term for the technology that allows multiple devices to be connected to each other without needing direct connections between all of them is multiplexing. Multiplexing is a method used to combine multiple signals into a single signal, which can then be transmitted over a shared medium. This allows for efficient sharing of network resources and enables multiple devices to communicate simultaneously.