AbstractA general method produces from a compact Hausdorff space S a compact Hausdorff space T with IndT=IndS+1. We show that if S is chainable, then T is also chainable while DgT<IndT, where Dg denotes dimensionsgrad, the dimension in the original sense of Brouwer. This leads to a chainable, first countable, separable space Xn with DgXn<IndXn=n for each integer n>1
AbstractLet l,m,n be integers such that 0⩽l⩽n and 0<m⩽n. We show that there is a first countable, se...
ABSTRACT: Let X be a space and U be an open cover of X. Then X is U chainable if for each x E X, sf...
AbstractThis is a continuation of the study of the metrizability number and the first countability n...
AbstractA general method produces from a compact Hausdorff space S a compact Hausdorff space T with ...
On the surface, the definitions of chainability and Lebesgue covering dimension ⩽1 are quite similar...
AbstractWe give an example of a perfectly normal first countable space X∗ with ind X∗ = 1 such that ...
AbstractOn the surface, the definitions of chainability and Lebesgue covering dimension ⩽1 are quite...
AbstractWe introduce a general method of resolving first countable, compact spaces that allows accur...
The purpose of this thesis is to present some dimension theory of separable metric spaces, and with ...
AbstractThe following problem is considered: If a topological group G is the union of an increasing ...
AbstractThe metrizability number of a space X, m(X), is the smallest cardinal κ such that X can be r...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
AbstractThe following theorems follow from results proved in the paper: Theorem 1. For each Abelian ...
AbstractWe obtain estimates of the small and large inductive dimensions ind and Ind of the union of ...
We present the concept and basic properties of the Menger-Urysohn small inductive dimension of topol...
AbstractLet l,m,n be integers such that 0⩽l⩽n and 0<m⩽n. We show that there is a first countable, se...
ABSTRACT: Let X be a space and U be an open cover of X. Then X is U chainable if for each x E X, sf...
AbstractThis is a continuation of the study of the metrizability number and the first countability n...
AbstractA general method produces from a compact Hausdorff space S a compact Hausdorff space T with ...
On the surface, the definitions of chainability and Lebesgue covering dimension ⩽1 are quite similar...
AbstractWe give an example of a perfectly normal first countable space X∗ with ind X∗ = 1 such that ...
AbstractOn the surface, the definitions of chainability and Lebesgue covering dimension ⩽1 are quite...
AbstractWe introduce a general method of resolving first countable, compact spaces that allows accur...
The purpose of this thesis is to present some dimension theory of separable metric spaces, and with ...
AbstractThe following problem is considered: If a topological group G is the union of an increasing ...
AbstractThe metrizability number of a space X, m(X), is the smallest cardinal κ such that X can be r...
AbstractIn the usual development of dimension theory in metric spaces, the equivalence of covering a...
AbstractThe following theorems follow from results proved in the paper: Theorem 1. For each Abelian ...
AbstractWe obtain estimates of the small and large inductive dimensions ind and Ind of the union of ...
We present the concept and basic properties of the Menger-Urysohn small inductive dimension of topol...
AbstractLet l,m,n be integers such that 0⩽l⩽n and 0<m⩽n. We show that there is a first countable, se...
ABSTRACT: Let X be a space and U be an open cover of X. Then X is U chainable if for each x E X, sf...
AbstractThis is a continuation of the study of the metrizability number and the first countability n...
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