4 papers
Lattices of slowly oscillating functions
Yutaka Iwamoto
We show that lattice isomorphisms between lattices of slowly oscillating functions on chain-connected proper metric spaces induce coarsely equivalent homeomorphisms. This result le…
Homomorphisms of the lattice of slowly oscillating functions on the half-line
Yutaka Iwamoto
We study the space $H(\SO)$ of all homomorphisms of the vector lattice of all slowly oscillating functions on the half-line $\HH=[0,\infty)$. In contrast to the case of homomorphis…
Indecomposable continua as Higson coronae
Yutaka Iwamoto
In this paper, we consider spaces whose Higson coronae are indecomposable continua. We show that for a non-compact proper metric space which is coarsely geodesic and has coarse…
An indecomposable continuum as subpower Higson corona
Yutaka Iwamoto
In this paper, we study the topological properties of the subpower Higson corona of proper metric spaces and show that the subpower Higson corona of the half open interval with the…