Final answer:
The Lapita Culture reached remote Oceania and introduced pottery, marking the period known as the Long Pause, not associated with European explorers like Columbus, Magellan, or Cook.
Step-by-step explanation:
The group that successfully reached remote Oceania, introduced pottery, and marked a significant period known as the Long Pause was the Lapita Culture.
The Lapita people were skilled navigators and potters from Southeast Asia who expanded into the Pacific Ocean archipelagos, dispersing to new areas and establishing a distinct Lapita cultural region in remote Oceania.
This movement occurred around 1500 BCE to 500 BCE and is not attributed to any of the European explorers listed in the question like Christopher Columbus, Ferdinand Magellan, or James Cook, who were involved much later in the period of European exploration.