century, the latter saw the rise of the Vijayanagara Empire, which ruled much of southern India as a federation. The Sultanate and the Empire engaged in continuous warfare without either being able to defeat the other. Early modern era Americas Beginning with the 1492 arrival of Christopher Columbus in the Caribbean and gaining control over more territory for over three centuries, the Spanish Empire would expand across the Caribbean Islands, half of South America, most of Central America and much of North America. The major empires of the American continents were defeated by much smaller Spanish forces. The Aztec Empire under Moctezuma II had 200,000 troops under its command, but was defeated by little over 600 conquistadors. The Inca Empire under Atahualpa with 60,000 soldiers was defeated by 168 Spaniards, meanwhile. In both cases, the Spanish used deception to capture the heads of state. Following an earlier expedition to Yucatán led by Juan de Grijalva in 1518, Spanish conquistador Hernán Cortés led an expedition (entrada) to Mexico. Two years later, in 1519, Cortés and his retinue set sail for Mexico. Cortés made alliances with tributary city-states (altepetl) of the Aztec Empire as well as their political rivals, particularly the Tlaxcaltecs and Tetzcocans, a former partner in the Aztec Triple Alliance. Other city-states also joined, including Cempoala and Huejotzingo and polities bordering Lake Texcoco, the inland lake system of the Valley of Mexico. The Spanish campaign against the Aztec Empire had its final victory on 13 August 1521, when a coalition army of Spanish forces and native Tlaxcalan warriors led by Cortés and Xicotencatl the Younger captured the emperor Cuauhtémoc and Tenochtitlan, the capital of the Aztec Empire. The fall of Tenochtitlan marks the beginning of Spanish rule in central Mexico, and they established their capital of Mexico City on the ruins of Tenochtitlan. After years of preliminary exploration and military skirmishes, 168 Spanish soldiers under conquistador Francisco Pizarro, his brothers, and their indigenous allies captured the Sapa Inca Atahualpa in the 1532 Battle of Cajamarca. It was the first step in a long campaign that took decades of fighting but ended in Spanish victory in 1572 and colonization of the region as the Viceroyalty of Peru. The Spanish conquest of the Muisca took place from 1537 to 1540. Meanwhile, the Calchaquí Wars were a series of military conflicts between the Diaguita Confederation and the Spanish Empire in the 1560–1667 period.