Abstract
The [Formula: see text]-adic number field [Formula: see text] and the [Formula: see text]-adic analogue of the complex number field [Formula: see text] have a rich algebraic and geometric structure that in some ways rivals that of the corresponding objects for the real or complex fields. In this paper, we attempt to find and understand geometric structures of general sets in a [Formula: see text]-adic setting. Several kinds of fractal measures and dimensions of sets in [Formula: see text] are studied. Some typical fractal sets are constructed. It is worthwhile to note that there exist some essential differences between [Formula: see text]-adic case and classical case.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
