The opposite of a compromise would be a failure to compromise, possibly a stalemate (remaining in disagreement or unsettled). The opposite of the verb to compromise would be to not compromise, to be stubborn, adamant, or inflexible.
The word recognition can mean either identification or acknowledgement. The opposite (failure to recognize) could be misidentification, unawareness, or misperception. The opposite (no acknowledgement, disapproval) could be denunciation, repudiation, or rejection.