On Bing points in infinite-dimensional hereditarily indecomposable continua

Let B∞(X) be the complement of the union of all non-trivial finite-dimensional continua in the infinite-dimensional hereditarily indecomposable continuum X, i.e., the set of Bing points in X. We construct examples showing that for countable-dimensional continua X, the variety of types of B∞(X) is much greater than in the case of the set of Bing points in the finite-dimensional case investigated in [R. Pol, M. Reńska, Preprint]. A hereditarily indecomposable continuum X is constructed such that X is not strongly infinite-dimensional, but B∞(X) has this property.