Resumen de A homogeneous space that is one-dimensional but not cohesive

Jan J. Dijkstra

• A separable metric space is called cohesive if every point of the space has a neighbourhood that fails to contain nonempty clopen subsets of the space. A topological group is cohesive if and only if it is not zero-dimensional. We present a homogeneous, one-dimensional, almost zero-dimensional space that is not cohesive.

  We also show that a complete homogeneous space is cohesive if and only if it is not zero-dimensional.