What are some "standard texts" on infinite Galois theory? I feel that Dummit&Foote only has a really brief introduction to infinite Galois theory. At the very least, I need a reference to clarify the Krull topology on the groups, preferably with an introduction to topological groups. Introducing that topology in a somewhat categorical way could also be helpful.
If knowledge about topological groups are a "prerequisite," I would also like to see some references specifically about that. I have studied a bit about pointset topology but nothing in particular about topological groups.
Best Answer
Thanks to everyone who suggested a reference. I eventually used J.S. Milne's Fields and Galois Theory, which is freely available online and very readable.