domestic, household (both esp. BrE)
human

heap, pile

dump
People just dump their refuse in the street.

collect (esp. BrE)
Refuse is collected on Fridays.

collection, disposal
collector (BrE)
I had a part-time job as a refuse collector.

dump, heap (esp. AmE)

absolutely, utterly
adamantly, obstinately, resolutely, staunchly (esp. AmE), steadfastly, stubbornly, vehemently
categorically, flatly, point-blank, simply
Gerard refused point-blank to cooperate.

explicitly (esp. AmE), pointedly
The demand for an apology was pointedly refused.

politely
consistently
repeatedly
The Court has repeatedly refused to bend on this point.

cannot
They made me an offer I couldn't refuse.

can hardly
be entitled to, have the right to
Workers should be entitled to refuse to work under these conditions.

be churlish to, seem churlish to (both BrE)
She offered them tea and it seemed churlish to refuse.

dare to
He didn't dare to refuse.

continue to

Refuse is used with these nouns as the subject:
authority, court, judge, union

Refuse is used with these nouns as the object:
access, admission, admittance, application, approval, assignment, asylum, authorization, bail, citizenship, clearance, communion, compensation, consent, credit, crown, demand, entry, exemption, funding, help, injunction, invitation, knighthood, leave, licence, offer, pardon, participation, passage, patent, payment, permission, recognition, refund, request, sex, shelter, status, treatment, visa