Results 51 to 60 of about 93,950 (215)
Dimensions of some fractals defined via the semigroup generated by 2 and 3 [PDF]
, 2012 We compute the Hausdorff and Minkowski dimension of subsets of the symbolic space $\Sigma_m=\{0,...,m-1\}^\N$ that are invariant under multiplication by integers. The results apply to the sets $\{x\in \Sigma_m: \forall\, k, \ x_k x_{2k}...
Peres, Yuval +3 more
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Homogeneous countable connected Hausdorff spaces [PDF]
Proceedings of the American Mathematical Society, 1961 In 1925, P. Urysohn gave an example of a countable connected Hausdorff space [4]. Other examples have been contributed by R. Bing [1], M. Brown [2], and E. Hewitt [3]. Relatively few of the properties of such spaces have been examined. In this paper the question of homogeneity is studied.
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Hausdorff operators on homogeneous spaces of locally compact groups
Журнал Белорусского государственного университета: Математика, информатика, 2020 Hausdorff operators on the real line and multidimensional Euclidean spaces originated from some classical summation methods. Now it is an active research area. Hausdorff operators on general groups were defined and studied by the author since 2019.
Adolf R. Mirotin
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Lattices and Their Continuum Limits [PDF]
, 1995 We address the problem of the continuum limit for a system of Hausdorff lattices (namely lattices of isolated points) approximating a topological space $M$. The correct framework is that of projective systems.
Bimonte, G. +5 more
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Embeddings in minimal Hausdorff spaces [PDF]
Proceedings of the American Mathematical Society, 1983 We show that not every semiregular space is embeddable as an open and dense set of some minimal Hausdorff space. Also a space is constructed for which it is not decidable in Z.F.C whether such an embedding exists.
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The geometric realization of a simplicial Hausdorff space is Hausdorff
, 2013 It is shown that the thin geometric realization of a simplicial Hausdorff space is Hausdorff. This proves a famous claim by Graeme Segal that the thin geometric realisation of a simplicial k-space is a k-space.Comment: 19 ...
Clément de Seguins Pazzis +4 more
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Embedding into discretely absolutely star-Lindelöf spaces II
Applied General Topology, 2009 A space X is discretely absolutely star-Lindelöf if for every open cover U of X and every dense subset D of X, there exists a countable subset F of D such that F is discrete closed in X and St(F, U) = X, where St(F, U) = S{U ∈ U : U ∩F 6= Ø}.
Yan-Kui Song
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A Note on Topological Properties of Non-Hausdorff Manifolds
International Journal of Mathematics and Mathematical Sciences, 2009 The notion of compatible apparition points is introduced for non-Hausdorff manifolds, and properties of these points are studied. It is well known that the Hausdorff property is independent of the other conditions given in the standard definition of a ...
Steven L. Kent +2 more
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Noncommutative space–time and Hausdorff dimension [PDF]
International Journal of Modern Physics A, 2017 We study the Hausdorff dimension of the path of a quantum particle in noncommutative space–time. We show that the Hausdorff dimension depends on the deformation parameter [Formula: see text] and the resolution [Formula: see text] for both nonrelativistic and relativistic quantum particle.
Anjana, V., Harikumar, E., Kapoor, A. K.
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$G_\delta$-topology and compact cardinals
, 2018 For a topological space $X$, let $X_\delta$ be the space $X$ with $G_\delta$-topology of $X$. For an uncountable cardinal $\kappa$, we prove that the following are equivalent: (1) $\kappa$ is $\omega_1$-strongly compact.
Usuba, Toshimichi
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