Category of self-similar groups and plane-filling curves
by
Volodymyr Nekrashevych
Texas A&M University

We will define a category of self-similar groups (or, equivalently, category of permutational bimodules) and functors (called "limit space" and ïterated monodromy group") between this category and the category of self-coverings of orbispaces. This will give interesting group-theoretical interpretation of different exotic continuous maps, for example, of some plane-filling curves.

Date received: March 9, 2006