In the TV series, there is a blue sphere the rings are placed on, and things entering the blue don't come back and are assumed to be destroyed.
But there is not such thing in the books, instead, the area between the rings is only described as being black, without stars, and void.
Does that mean it's just vacuum ? If so, can you travel beyond ? Sure, there's nowhere to visit outside the ring space, but for example could you hide behind a ring for tactical purposes before or during a fight ?
I know big things happen in the latter half of the series, I didn't read that yet. Feel free to include elements from that if it answers the question, but if the landscape of the ring space gets radically changed let's assume this question applies to things as they stand at the start of Cibola Burn.