Abstract
In our previous paper, we introduced the notion of continuum-wise expansive homeomorphisms which contain all expansive homeomorphisms, and studied several properties of those homeomorphisms. In this paper, we study further more properties of continuum-wise expansive homeomorphisms and consider a special class, which is contained in the class of continuum-wise expansive homeomorphisms. We introduce a new notion of continuum-wise fully expansive homeomorphisms, which often appear in chaotic topological dynamics and continuum theory. We investigate several properties about indecomposability and dimension of continua which admit such homeomorphisms. In particular, if a plane continuum X admits a continuum-wise fully expansive homeomorphisms, then X is indecomposable.
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