
handle: 11368/1702157 , 10077/6474
Viene data una dimostrazione elementare del fatto che il prodotto cartesiano di un'infinità numerabile di spazi localmente compatti e paracom¬patti è uno spazio paracompatto. Infine si caratterizzano gli spazi ereditariamente paracompatti e perfettamente normali. An elementary proof is given that the cartesian product of countably many locally compact and paracompact spaces is a paracompact space. Finally hereditarily paracompact and perfectly normal spaces are characterized.
hereditarily paracompact and perfectly normal spaces, locally compact paracompact spaces, Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), Local compactness, \(\sigma\)-compactness, Noncompact covering properties (paracompact, Lindelöf, etc.), product, Product spaces in general topology
hereditarily paracompact and perfectly normal spaces, locally compact paracompact spaces, Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.), Local compactness, \(\sigma\)-compactness, Noncompact covering properties (paracompact, Lindelöf, etc.), product, Product spaces in general topology
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