Paracompactness - Mathematics & Logic - Pure Mathematics Dictionary Definition A space is paracompact if every open cover admits an open refinement that is locally finite (each point has a neighbourhood meeting only finitely many sets of the refinement).
Paracompactness - Mathematics & Logic - Pure Mathematics Dictionary Definition A space is paracompact if every open cover admits an open refinement that is locally finite (each point has a neighbourhood meeting only finitely many sets of the refinement).