The Florence Cathedral, officially known as the Cattedrale di Santa Maria del Fiore, is famous for its magnificent dome (cupola).
The construction of this dome was a major architectural and engineering feat of the Early Renaissance.
The architect and engineer who designed and oversaw the construction of this iconic dome was Filippo Brunelleschi.
He won a competition for its design in 1418, and construction took place between 1420 and 1436. Brunelleschi devised innovative techniques for its construction, including a double-shell design and special hoisting machinery.
Let's consider the other architects listed (all are significant Renaissance figures):
(p) (b) Leon Battista Alberti (1404-1472): A prominent architect, theorist, and humanist of the Italian Renaissance. Known for works like the Palazzo Rucellai and the facade of Santa Maria Novella in Florence, and his treatise "De Re Aedificatoria."
(q) (c) Giuliano da Sangallo (c. 1445-1516): An Italian architect, engineer, and sculptor active during the Renaissance. Worked on projects like the Villa Medici at Poggio a Caiano.
(r) (d) Giacomo da Vignola (Giacomo Barozzi da Vignola, 1507-1573): An influential Italian Mannerist architect. Known for works like the Villa Farnese at Caprarola and the Church of the Gesù in Rome (with Giacomo della Porta).
While all were important Renaissance architects, Filippo Brunelleschi is specifically renowned for designing the dome of the Florence Cathedral.
\[ \boxed{\text{Filippo Brunelleschi}} \]