Results 21 to 30 of about 704 (148)
Compressing Data Cube in Parallel OLAP Systems
Data Science Journal, 2007 This paper proposes an efficient algorithm to compress the cubes in the progress of the parallel data cube generation. This low overhead compression mechanism provides block-by-block and record-by-record compression by using tuple difference coding ...
Frank Dehne, Todd Eavis, Boyong Liang
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Contractible Hilbert Cube Manifolds [PDF]
Proceedings of the American Mathematical Society, 1972 In this note we give an example of a contractible Hilbert cube manifold which cannot be embedded as an open subset of the Hilbert cube Q so that its complement (in Q ) lies in a face of the boundary of Q .
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On the Dimension of the Hilbert Cubes
Journal of Number Theory, 1999 Given \(k\geq 1\), a set \(H\subset \mathbb{N}\) is called a cube of size \(k\) if there exist \(a>0\) and \(x_1,\dots,x_k\) such that \(H=\left\{a+\sum_{i=1}^k\varepsilon_ix_i:\varepsilon=0\text{ or }1\right\}\). The author proves that (1) there is an infinite sequence \(A\subset\mathbb{N}\) of positive lower density and containing in \(A\cap\{1,\dots,
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Topological n-cells and Hilbert cubes in inverse limits
Applied General Topology, 2018 It has been shown by S. Mardešić that if a compact metrizable space X has dim X ≥ 1 and X is the inverse limit of an inverse sequence of compact triangulated polyhedra with simplicial bonding maps, then X must contain an arc. We are going to prove that
Leonard R. Rubin
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Bulletin of the American Mathematical Society, 1970 Let \( Q \) denote the Hilbert cube, i.e. the countable infinite product of closed intervals, and by a Hilbert cube manifold, or Q-manifold, we mean a separable metric space having an open cover by sets homeomorphic to open subsets of \( Q \). A number of new embedding, characterization, and representation theorems are obtained for Q-manifolds. We list
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Группа гомеоморфизмов конечномерного куба в себя, тождественных на границе куба, как гильбертово многообразие [PDF]
Проблемы анализа, 2000 Результат статьи состоит в том, что пространство гомеоморфизмов H(M)конечномерного куба в себя, тождественных на границе, в компактно открытой топологии гомеоморфно гильбертову l2-многообразию.In the paper it is proved that the space of homeomorphisms of
Стреколовская Н. С.
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Monochromatic Hilbert Cubes and Arithmetic Progressions
The Electronic Journal of Combinatorics, 2019 The Van der Waerden number $W(k,r)$ denotes the smallest $n$ such that whenever $[n]$ is $r$–colored there exists a monochromatic arithmetic progression of length $k$. Similarly, the Hilbert cube number $h(k,r)$ denotes the smallest $n$ such that whenever $[n]$ is $r$–colored there exists a monochromatic affine $k$–cube, that is, a set of the form ...
József Balogh +3 more
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A function space from a compact metrizable space to a dendrite with the hypo-graph topology
Open Mathematics, 2015 Let X be an infinite compact metrizable space having only a finite number of isolated points and Y be a non-degenerate dendrite with a distinguished end point v.
Yang Hanbiao +2 more
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Basis Networks: Learning basis functions for free‐form triangulations
Computer Graphics Forum, EarlyView.Abstract We present a framework for learning compactly supported basis functions that define tangent continuous surfaces based on coarse irregular triangle meshes. The basis functions are represented as MLPs. Smoothness of the basis functions is achieved by using the values of Loop basis functions as the parameterization of the surface.
T. Djuren, M. Alexa
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Free Subspaces of Free Locally Convex Spaces
Journal of Function Spaces, 2018 If X and Y are Tychonoff spaces, let L(X) and L(Y) be the free locally convex space over X and Y, respectively. For general X and Y, the question of whether L(X) can be embedded as a topological vector subspace of L(Y) is difficult.
Saak S. Gabriyelyan, Sidney A. Morris
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