# On generalization of the Freudentals theorem for compact irreducible standard polyhedric representation for superparacompact complete metrizable spaces

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In this paper for superparacompact complete metrizable spaces the Freudenthals theorem for compact irreducible standard polyhedric representation is generalized. Furthermore, for superparacompact metric spaces are reinforced: 1 the Moritas theorem about universality of the product $Q^\infty\times B\tau$ of Hilbert cube $Q^\infty$ to generalized Baire space $B\tau$ of the weight $\tau$ in the space of all strongly metrizable spaces of weight $\le \tau$; 2 the Nagatas theorem about universality of the product $\Phi^n\times B\tau$ of universal $n$- dimensional compact $\Phi^n$ to $B\tau$ in the space of all strongly metrizable spaces $\le\tau$ and dimension $dimX\le n.$

Autor: D. K. Musaev; D. I. Jumaev

Fuente: https://archive.org/