Space paracompact
The definition was introduced by the French mathematician Dieudonné.
Let us recall that a covering (Xi) of a topological space X known as is locally finished if any point of X has a vicinity disjoins almost all Xi, i.e of all except for a finished whole of indices I.
A topological space is known as paracompact if any open covering admits a under-covering (thus also open) locally finished. Any compact space is paracompact; a major result is that any space métrisable is paracompact (cf Bourbaki).
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