AbstractMain results are:1.Let Y be a closed subspace of a hereditarily normal X such that K-IndY⩽n and K-Ind(X∖Y)⩽n. Then K-IndX⩽n.2.Let X be a perfectly normal space. Then a finite sum theorem for dimension K-Ind holds in X if and only if K-Ind is monotonic in X.We denote by K a non-empty set of finite complete simplicial complexes
AbstractTwo theorems are given analyzing the possible refinements of open covers of a monotonically ...
The most important open problem in monotone operator theory concerns the maximal monotonicity of the...
AbstractWe give an example of a perfectly normal first countable space X∗ with ind X∗ = 1 such that ...
AbstractMain results are:1.Let Y be a closed subspace of a hereditarily normal X such that K-IndY⩽n ...
AbstractWe solve some problems concerning dimension function K-Ind (K is a class of finite simplicia...
AbstractWe give two positive results related to Ivanov's question [Vestnik Moskov. Univ. Ser. I Mat....
Abstract. For dimension Dind introduced by A. Arhangel’skij (cf. [2]) we prove that Dind is finite i...
AbstractIt is proved that there exist integers e(k, l) ⩾ − 1 for k, l = − 1, 0, 1, … such that Ind X...
on the occasion of his 80th birthday Abstract. The sum theorem is proved and its corollaries are giv...
AbstractIn Iliadis (2005) [4] base dimension-like functions of the type ind were introduced. These f...
Almost zero-dimensionality is a relatively new dimension theoretic concept that fits neatly between ...
summary:We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn t...
Abstract. Weakly n-dimensional spaces were ®rst distinguished by Karl Menger. In this note we shall ...
. In functional analysis the notion of a summable family (with sum x) is wellknown. If (x i ) i2I is...
We study dimensions of sumsets and iterated sumsets and provide natural conditions which guarantee t...
AbstractTwo theorems are given analyzing the possible refinements of open covers of a monotonically ...
The most important open problem in monotone operator theory concerns the maximal monotonicity of the...
AbstractWe give an example of a perfectly normal first countable space X∗ with ind X∗ = 1 such that ...
AbstractMain results are:1.Let Y be a closed subspace of a hereditarily normal X such that K-IndY⩽n ...
AbstractWe solve some problems concerning dimension function K-Ind (K is a class of finite simplicia...
AbstractWe give two positive results related to Ivanov's question [Vestnik Moskov. Univ. Ser. I Mat....
Abstract. For dimension Dind introduced by A. Arhangel’skij (cf. [2]) we prove that Dind is finite i...
AbstractIt is proved that there exist integers e(k, l) ⩾ − 1 for k, l = − 1, 0, 1, … such that Ind X...
on the occasion of his 80th birthday Abstract. The sum theorem is proved and its corollaries are giv...
AbstractIn Iliadis (2005) [4] base dimension-like functions of the type ind were introduced. These f...
Almost zero-dimensionality is a relatively new dimension theoretic concept that fits neatly between ...
summary:We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn t...
Abstract. Weakly n-dimensional spaces were ®rst distinguished by Karl Menger. In this note we shall ...
. In functional analysis the notion of a summable family (with sum x) is wellknown. If (x i ) i2I is...
We study dimensions of sumsets and iterated sumsets and provide natural conditions which guarantee t...
AbstractTwo theorems are given analyzing the possible refinements of open covers of a monotonically ...
The most important open problem in monotone operator theory concerns the maximal monotonicity of the...
AbstractWe give an example of a perfectly normal first countable space X∗ with ind X∗ = 1 such that ...
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