Context: for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is central to generalize the above sketched connection of fields and groups to infinite field extensions. An advanced generalization of this idea, adapted to the needs of algebraic geometry, is the étale fundamental group.

Question: What concepts are fundamental to number theory?
Answer: adele rings and adelic algebraic groups

Question: What group uses infinite field extensions with topology?
Answer: the absolute Galois group

Question: What is used to generalize the connection of fields and groups to infinite field extensions?
Answer: Krull topology

Question: What group is an advanced observation of infinite field extensions and groups that is adapted for the needs of algebraic geometry?
Answer: the étale fundamental group

Question: What is basic to adele rings?
Answer: Unanswerable

Question: Which Galois group does not use topology?
Answer: Unanswerable

Question: What form of topology do Matrix groups use?
Answer: Unanswerable

Question: The Galois group is adapted to the needs of what form of geometry?
Answer: Unanswerable

Question: What is algebraic geometry adapted to the needs of?
Answer: Unanswerable