Spaces with increment of dimension n
M. Charalambous (1976)
Fundamenta Mathematicae
Similarity:
M. Charalambous (1976)
Fundamenta Mathematicae
Similarity:
Stanisław Spież (1990)
Fundamenta Mathematicae
Similarity:
H. Toruńczyk (1985)
Fundamenta Mathematicae
Similarity:
Roman Sikorski (1951)
Fundamenta Mathematicae
Similarity:
V. V. Fedorchuk (2010)
Colloquium Mathematicae
Similarity:
We introduce and investigate inductive dimensions 𝒦 -Ind and ℒ-Ind for classes 𝒦 of finite simplicial complexes and classes ℒ of ANR-compacta (if 𝒦 consists of the 0-sphere only, then the 𝒦 -Ind dimension is identical with the classical large inductive dimension Ind). We compare K-Ind to K-Ind introduced by the author [Mat. Vesnik 61 (2009)]. In particular, for every complex K such that K * K is non-contractible, we construct a compact Hausdorff space X with K-Ind X not equal to...
J. Aarts (1971)
Fundamenta Mathematicae
Similarity:
Alois Švec (1968)
Czechoslovak Mathematical Journal
Similarity:
Miroslav Katětov (1995)
Commentationes Mathematicae Universitatis Carolinae
Similarity:
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.