Second countability and paracompactness iAddendumforMathturaFalltrsvk Recallwedenean omanifoldtobeanyspacewhichisparacompactnHauso dor nlocallyhomeomorphicto iakalocallyEuclideanknandequipped withasm

De64257nitions Definition siParacompactk An open cover is called locally 64257nite if for all there exists open with such that for all but 64257nitely many Aspace is called paracompact if every open cover admits a locally 64257nite re64257nement De

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