On covering dimension and inverse limits of compact spaces
On covering dimension and inverse limits of compact spaces
SIBE MARDEI6In 1937 H. Freudenthal proved that every metrizable compact space X is homeomorphic with the inverse limit of an inverse sequence of compact polyhedra P, whose dimension dim P __< dim X ([3], Satz 1, p. 229).In this paper we ourselves propose to generalize Freudenthal's theorem to the case …