Publication date
July 2000
DOI Publisher
Elsevier Science B.V. ISSN
0166-8641Abstract
AbstractWe construct conforming axiomatics of the covering dimension dim and the D-dimension (Henderson, 1968) on the class of all metrizable compacta
AbstractWe construct conforming axiomatics of the covering dimension dim and the D-dimension (Henderson, 1968) on the class of all metrizable compacta
AbstractCompactifications preserving the dimension of a normal space are described in the partially ...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
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...
AbstractMenger's axioms on dimension functions are not adequate to determine the dimension on the cl...
AbstractWe investigate a dimension function L-dim (L is a class of ANR-compacta). Main results are a...
AbstractWe study the extraordinary dimension function dimL introduced by Ščepin. An axiomatic charac...
AbstractThere are many dimension functions defined on arbitrary topological spaces taking either a f...
AbstractThe question on realizability or nonrealizability of various subsystems of the system consis...
AbstractWe investigate a dimension function L-dim (L is a class of ANR-compacta). Main results are a...
We present a small variation ofMrowka’s recent technique for producing metrizable spaces with non-co...
AbstractTwo classes of compacta were introduced: the class of metrcompacta and more wide class of we...
AbstractThe metrizability number of a space X, m(X), is the smallest cardinal κ such that X can be r...
The present paper deals with those continuous maps from compacta into metric spaces which assume eac...
AbstractLet X be a metrizable space. It is proved that X has a topologically complete metrizable ext...
AbstractCompactifications preserving the dimension of a normal space are described in the partially ...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
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...
AbstractMenger's axioms on dimension functions are not adequate to determine the dimension on the cl...
AbstractWe investigate a dimension function L-dim (L is a class of ANR-compacta). Main results are a...
AbstractWe study the extraordinary dimension function dimL introduced by Ščepin. An axiomatic charac...
AbstractThere are many dimension functions defined on arbitrary topological spaces taking either a f...
AbstractThe question on realizability or nonrealizability of various subsystems of the system consis...
AbstractWe investigate a dimension function L-dim (L is a class of ANR-compacta). Main results are a...
We present a small variation ofMrowka’s recent technique for producing metrizable spaces with non-co...
AbstractTwo classes of compacta were introduced: the class of metrcompacta and more wide class of we...
AbstractThe metrizability number of a space X, m(X), is the smallest cardinal κ such that X can be r...
The present paper deals with those continuous maps from compacta into metric spaces which assume eac...
AbstractLet X be a metrizable space. It is proved that X has a topologically complete metrizable ext...
AbstractCompactifications preserving the dimension of a normal space are described in the partially ...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
AbstractWe consider modifications of the original axioms of Menger which together with additional ax...
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