| Two different things entirely.
A tapercore string set usually has the B, E, and sometimes the A string become much thinner right by the bridge, even sometimes down to the very core of the string. Otherwise, it's just a regular roundwound or flatwound string.
Tapewound strings are usually roundwound strings that are wrapped with a layer of plastic. They feel like flats, and have a smooth, upright-like, very high-mids kind of sound. | 
