Quasiextremal Distance Continuum In Higher Dimensional Space

In this paper,we focus on the topological and geometric property of QED continuum.In particular,we investigate the local connectivity for QED continuum under some conditions.Firstly,we briefly introduce the background and the problems discussed in this thesis.Our main results are also introduced.Secondly,we show some basic concepts,properties of QED continuum and some basic estimates of modulus.Then we present a proof of our main theorem.It shows that QED continuum in higher dimensional space is locally connected under some conditions.Finally,we give an example which shows that for any integer k>0,there exists some QED continuum A inR~n and exists some point a?A such that A\{a}has k components.