| 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 |
