Spaces with increment of dimension n
M. Charalambous (1976)
Fundamenta Mathematicae
Similarity:
M. Charalambous (1976)
Fundamenta Mathematicae
Similarity:
Alois Švec (1968)
Czechoslovak Mathematical Journal
Similarity:
H. Toruńczyk (1985)
Fundamenta Mathematicae
Similarity:
James Keesling (1969)
Fundamenta Mathematicae
Similarity:
Keiô Nagami (1981)
Fundamenta Mathematicae
Similarity:
P. Borst (1992)
Fundamenta Mathematicae
Similarity:
We will construct weakly infinite-dimensional (in the sense of Y. Smirnov) spaces X and Y such that Y contains X topologically and and . Consequently, the subspace theorem does not hold for the transfinite dimension dim for weakly infinite-dimensional spaces.
Aarts J. M. (1968)
Fundamenta Mathematicae
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.