The cephalosporin nucleus is a core structure of cephalosporin antibiotics, which consists of a $\beta$-lactam ring fused to a six-membered dihydrothiazine ring. The $\beta$-lactam ring is responsible for the antibacterial activity by inhibiting cell wall synthesis, while the dihydrothiazine ring distinguishes cephalosporins from penicillins (which have a thiazolidine ring). The other options, such as oxazolidine or pyrrole rings, are not part of the cephalosporin structure.
Thus, the correct answer is Beta-lactam ring + Dihydrothiazine ring.