Mesocompact space

In mathematics, in the field of general topology, a topological space is said to be mesocompact if every open cover has a compact-finite open refinement.[1] That is, given any open cover, we can find an open refinement with the property that every compact set meets only finitely many members of the refinement.[2]

The following facts are true about mesocompactness:

Notes

  1. Hart, Nagata & Vaughan, p200
  2. Pearl, p23

References