Active radio technologies associated with the A2/AD concept of the East as well as passive Stealth and opto-electronic systems of the competing West have become a direct successor of missile and nuclear technology related to the elimination of the intermediate-range and shorter-range missiles treaty (INF Treaty) from 1987. Guided missiles and nuclear charges (employing ionizing radiation) developed in the laboratories of the Nazi Germany and the democratic United States during the World War II were setting the world events through the whole generation - since the Cuban Missile Crisis (1962) to the collapse of the Soviet Union (1991). The INF Treaty reduced nuclear weapons significance at the global level and thus increased a role of local/regional interests and allowed for a development of information technologies leading to globalization. Now, after thirty years of internet and mobile networks development the situation has been changing slowly again. The INF Treaty has been abandoned and missiles are coming back on the scene, the nuclear alpha radiation, however, is being replaced by the electromagnetic radiation with a higher military usage potential. Though we do not know what we can expect in the next thirty years, still it is good to describe the starting point.
For $U$ a balanced open subset of a Fréchet space $E$ and $F$ a dual-Banach space we introduce the topology $\tau _\gamma $ on the space ${\mathcal H}(U,F)$ of holomorphic functions from $U$ into $F$. This topology allows us to construct a predual for $({\mathcal H}(U,F),\tau _\delta )$ which in turn allows us to investigate the topological structure of spaces of vector-valued holomorphic functions. In particular, we are able to give necessary and sufficient conditions for the equivalence and compatibility of various topologies on spaces of vector-valued holomorphic functions.