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Core, I am assuming, means "magnetic core memory". This was an early type of persistent memory used on early computers. You could put a core on a shelf and pull it down for use several years later, and it would still have the data in memory as it was the day you put it on the shelf. Core memory was used as permanent random-access memory on early computers
A very small magnetic doughnut (a single core) would have three wires passed through it. Two wires would be used to set or read the position of the magnetic field of the particular core doughnut. A third wire was used to carry the signal if the field was reversed.
All magnetic fields can be reversed by creating a nearby magnetic field at sufficient strength. Current in one of the address wires was insufficient to cause a change in the magnetic field of the doughnut core. But when both address wires carried current at the same time, the magnetic field generated would flip the field of the core to align with the field produced by the current in the address wires.
When one of these tiny doughnuts switched magnetic poles a current was then introduced into the sensor wire and read as a change that might indicate a 1 or a zero. The machine would then put the core back the way it was to preserve that value stored in that memory location.
All of this wiring using these very tiny doughnuts of magnetic material was difficult and cost a lot of money to produce. It was all they had for permanent storage until transistors came into common use.
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