Trying to make himself look good by refusing to give up or even think about turning back?

But he refused to give up, at least not yet.

His mind's eye refused to give up the image of the black and green island.

But he refused to give up on the new man.

The King, in his turn, refused to give them up, and raised a strong force.

They question him but he refuses to give up Virginia or the color of their car.

He refuses to give up the name of the student and has to leave the school.

I was trying to cut down, but refused to give up the one that went with my morning coffee.

She had no way of knowing, but refused to give up.

It seems we refuse to give up on these issues.