engleski

Paracompact locally compact spaces as inverse limits of polyhedra

A topological space is paracompact locally compact ($sigma$-compact locally compact), if and only if it admits a strictly canonical simplicial resolution consisting of metrizable (Polish) polyhedra with all the mappings proper. An analogous characterization of a proper mapping is also established.

locally compact; paracompact; proper mapping; normal covering; nerve;polyhedron; simplicial mapping; canonical mapping; inverse system; limit;resolution

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