Dilations of positive operator measures and bimeasures related to quantum mechanics
Dimension and decompositions
Dimension and Structure of Typical Compact Sets, Continua and Curves.
Dimension, category and spaces
Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro
Dimension in algebraic frames, II: Applications to frames of ideals in
This paper continues the investigation into Krull-style dimensions in algebraic frames. Let be an algebraic frame. is the supremum of the lengths of sequences of (proper) prime elements of . Recently, Th. Coquand, H. Lombardi and M.-F. Roy have formulated a characterization which describes the dimension of in terms of the dimensions of certain boundary quotients of . This paper gives a purely frame-theoretic proof of this result, at once generalizing it to frames which are not necessarily...
Dimension inequalities for unions and mappings of separable metric spaces
Dimension of convex hyperspaces
Dimension of convex hyperspaces : nonmetric case
Dimension of dense subalgebras of C(X)
Dimension of free L-spaces
Dimension of indiscernibility equivalences
Dimension of non-normal spaces
Dimension of quasi-metrizable spaces and bicompleteness degree.
Dimension raising maps for which polyhedra are mapped to polyhedra
Dimension scales of bicompacta.
Dimension theory and fuzzy topological spaces.
Dimension-raising maps in a large scale
Hurewicz's dimension-raising theorem states that dim Y ≤ dim X + n for every n-to-1 map f: X → Y. In this paper we introduce a new notion of finite-to-one like map in a large scale setting. Using this notion we formulate a dimension-raising type theorem for asymptotic dimension and asymptotic Assouad-Nagata dimension. It is also well-known (Hurewicz's finite-to-one mapping theorem) that dim X ≤ n if and only if there exists an (n+1)-to-1 map from a 0-dimensional space onto X. We formulate a finite-to-one...
Dimensions and partitions of unity
Dimensionsgrad for locally connected Polish spaces
It is shown that for every n ≥ 2 there exists an n-dimensional locally connected Polish space with Dimensionsgrad 1.