Add to ORKGsummary:Using certain ideas connected with the entropy theory, several kinds of dimensions are introduced for arbitrary topological spaces. Their properties are examined, in particular, for normal spaces and quasi-discrete ones. One of the considered dimensions coincides, on these spaces, with the Čech-Lebesgue dimension and the height dimension of posets, respectively
AbstractIt is shown, using a non-measurable partition of the real line, that the covering dimension ...
In this paper, we first show that for all four non-negative real numbers, there exists a Cantor ultr...
AbstractBy using the covering dimension in the modified sense of Karětov and Smirnov it is proved th...
summary:Using certain ideas connected with the entropy theory, several kinds of dimensions are intro...
summary:Using certain ideas connected with the entropy theory, several kinds of dimensions are intro...
The present study focus and define a new kind of covering dimension and show some relations ...
summary:The universality problem focuses on finding universal spaces in classes of topological space...
summary:The universality problem focuses on finding universal spaces in classes of topological space...
The key word of this study is normal sequence of finite open covers. In general topol-ogy, the notio...
AbstractIn the paper [A.K. O' Connor, A new approach to dimension, Acta Math. Hungar. 55 (1–2) (1990...
AbstractS.D. Iliadis introduced the concept of the dimension-like functions of type dim using the no...
AbstractWe consider a natural way of extending the Lebesgue covering dimension to various classes of...
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
AbstractIt is shown, using a non-measurable partition of the real line, that the covering dimension ...
In this paper, we first show that for all four non-negative real numbers, there exists a Cantor ultr...
AbstractBy using the covering dimension in the modified sense of Karětov and Smirnov it is proved th...
summary:Using certain ideas connected with the entropy theory, several kinds of dimensions are intro...
summary:Using certain ideas connected with the entropy theory, several kinds of dimensions are intro...
The present study focus and define a new kind of covering dimension and show some relations ...
summary:The universality problem focuses on finding universal spaces in classes of topological space...
summary:The universality problem focuses on finding universal spaces in classes of topological space...
The key word of this study is normal sequence of finite open covers. In general topol-ogy, the notio...
AbstractIn the paper [A.K. O' Connor, A new approach to dimension, Acta Math. Hungar. 55 (1–2) (1990...
AbstractS.D. Iliadis introduced the concept of the dimension-like functions of type dim using the no...
AbstractWe consider a natural way of extending the Lebesgue covering dimension to various classes of...
This book covers the fundamental results of the dimension theory of metrizable spaces, especially in...
In this thesis, Hausdorff, packing and capacity dimensions are studied by evaluating sets in the Euc...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
AbstractIt is shown, using a non-measurable partition of the real line, that the covering dimension ...
In this paper, we first show that for all four non-negative real numbers, there exists a Cantor ultr...
AbstractBy using the covering dimension in the modified sense of Karětov and Smirnov it is proved th...