  A detailed analysis of odd-mass Nb isotopes, in the framework of the
interacting boson-fermion model with configuration mixing, discloses the
effects of an abrupt crossing of states in normal and intruder configurations
(Type~II QPT), on top of which superimposed a gradual evolution from spherical-
to deformed-core shapes within the intruder configuration (Type~I QPT). The
pronounced presence of both types of QPTs demonstrates, for the first time, the
occurrence of intertwined QPTs in odd-mass nuclei.
