The one who controls the air and space controls the planet. Aerospace craft will aim to seize control establishing dominance/supremacy over the enemy’s assets. Even if aerospace supremacy cannot be established, a “degree of dominance” in the airspace bubble in a given area and given time-space without prohibitive interference by opposing air forces will be desired. Air superiority fighter aircraft are meant for entering and seizing control of enemy airspace.
They operate under the control/co-ordination of Early Warning and Control satellites and aircraft with increased Artificial intelligence (AI). Aircraft like the US Navy’s F-14 and USAF’s F-15 were built to achieve air superiority from the design and development stage. Both later had multi-role variants. Soviets/Russians developed MiG-29 and Su-27 around the same time. Eurofighter Typhoon and Dassault Rafale though multi-role fighters but both have air-superiority missions. F-22 Raptor, Su-30 variants, Su-35, Chinese J-11 and J-15 are also air-superiority aircraft.