All 3 Uses

abide
in
Hyperion
(Edited)

We will abide by the will of the majority.
Part 1 *

abide = accept (comply with)
The devastation was great during the Bad Times-and these came more often in precisely plotted spasms, shorter remissions, more terrible consequences after each attack-but the Earth abided and repaired itself as best it could.
Part 3

abided = endured (survived)
Surely you know that the Church of the Final Atonement has a deep and abiding interest in the world of Hyperion.
Part 5 *

abiding = enduring (long-lasting)

Definitions:

(1) (abide as in: abide by her decision)
to tolerate or put up with something
(2) (abide as in: abide in the forest)
to live in a place

or more rarely: to live with someone or something
(3) (abide as in: an abiding desire to)
to remain or endure or lasting a long time
(4) (meaning too rare to warrant focus)
In classic literature, abide also sometimes references "awaiting someone or something".