Comment by alexey-salmin
1 month ago
Doesn't "continuous" make all the difference here? AC doesn't contain a comparable limitation, so the analogy doesn't work that week.
1 month ago
Doesn't "continuous" make all the difference here? AC doesn't contain a comparable limitation, so the analogy doesn't work that week.
Yes, but the parent comment is trying to say "imagine the world would only be made up of topological spaces and continuous maps". Then the retraction principle would not hold.
Careful here, you might wake up the diabol (of pure algebra)