Matematički Vesnik

Finite dimensions defined by means of

$m$ -coverings

Vitaly V. Fedorchuk

Abstract

We introduce and investigate finite dimensions $(m,n)\text{-}\tx{\rm dim}$ defined by means of $m$ -coverings. These dimensions generalize the Lebesgue dimension: $\tx{\rm dim}=(2,1)\text{-}\tx{\rm dim}$ . If $n

Keywords: Dimension; dimension $(m,n)\text{-}\tx{\rm dim}$ ; metrizable space; hereditarily normal space.

MSC: 54F45

Pages: 347--360

Volume 64 , Issue 4 , 2012