Adjective
paracompact (not comparable)
(mathematics, of a topological space) In which every open cover admits an open locally finite refinement.
A space such that every subspace of it is a paracompact space is called hereditarily paracompact. Source: Internet
Although a product of paracompact spaces need not be paracompact, the following are true: * The product of a paracompact space and a compact space is paracompact. Source: Internet
A topological space X is now said to be paracompact if every open cover has a locally finite open refinement. Source: Internet
Every compact space is Lindelöf and paracompact. Source: Internet
Every metric space is paracompact. Source: Internet
Every metrizable space is Hausdorff and paracompact (and hence normal and Tychonoff). Source: Internet