AbstractMenger's axioms on dimension functions are not adequate to determine the dimension on the class of all subspaces of Euclidean spaces. In this paper, the following is shown: A decomposition axiom together with Menger's axioms characterize the dimension on the class of all subspaces of Euclidean spaces, and the axioms are independent
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in...
Every space is assumed to be separable and metric. A space is called (strongly) countably dimensiona...
AbstractAbout spaces N∪R (see [2, Exercise 5I]), the following are proved: (1) dim N∪R = dim β(N∪R)⧹...
AbstractMenger's axioms on dimension functions are not adequate to determine the dimension on the cl...
AbstractWe consider modifications of the original axioms of Menger which together with additional ax...
AbstractWe construct conforming axiomatics of the covering dimension dim and the D-dimension (Hender...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
summary:Some theorems characterizing the metric and covering dimension of arbitrary subspaces in a E...
AbstractThe question on realizability or nonrealizability of various subsystems of the system consis...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
We present a small variation ofMrowka’s recent technique for producing metrizable spaces with non-co...
AbstractThe paper is devoted to the study of the following question: when does a k-dimensional subse...
AbstractIn this paper we improve the construction of Goto (1993) to obtain the Main Theorem: Let n, ...
AbstractBy using the covering dimension in the modified sense of Karětov and Smirnov it is proved th...
AbstractWe study the extraordinary dimension function dimL introduced by Ščepin. An axiomatic charac...
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in...
Every space is assumed to be separable and metric. A space is called (strongly) countably dimensiona...
AbstractAbout spaces N∪R (see [2, Exercise 5I]), the following are proved: (1) dim N∪R = dim β(N∪R)⧹...
AbstractMenger's axioms on dimension functions are not adequate to determine the dimension on the cl...
AbstractWe consider modifications of the original axioms of Menger which together with additional ax...
AbstractWe construct conforming axiomatics of the covering dimension dim and the D-dimension (Hender...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
summary:Some theorems characterizing the metric and covering dimension of arbitrary subspaces in a E...
AbstractThe question on realizability or nonrealizability of various subsystems of the system consis...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
We present a small variation ofMrowka’s recent technique for producing metrizable spaces with non-co...
AbstractThe paper is devoted to the study of the following question: when does a k-dimensional subse...
AbstractIn this paper we improve the construction of Goto (1993) to obtain the Main Theorem: Let n, ...
AbstractBy using the covering dimension in the modified sense of Karětov and Smirnov it is proved th...
AbstractWe study the extraordinary dimension function dimL introduced by Ščepin. An axiomatic charac...
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in...
Every space is assumed to be separable and metric. A space is called (strongly) countably dimensiona...
AbstractAbout spaces N∪R (see [2, Exercise 5I]), the following are proved: (1) dim N∪R = dim β(N∪R)⧹...