Nice! I haven't read Axiomatic yet, but this has been my "Greg Egan year". I have read Permutation City and Diaspora: maybe the two most stimulating scifi novels I have ever read.
There are also several novels which kind of similar to Diaspora: Schild's Ladder, Incandescence, and stories in the Incandescence universe: Ride a crocodile, Hot rock, Glory.
The core concept is so well established in the book.