Results 61 to 70 of about 4,715,878 (299)
Continuous images of Cantor's ternary set
, 2013 The Hausdorff-Alexandroff Theorem states that any compact metric space is the continuous image of Cantor's ternary set $C$. It is well known that there are compact Hausdorff spaces of cardinality equal to that of $C$ that are not continuous images of ...
Dreher, Fabian, Samuel, Tony
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The metric space of geodesic laminations on a surface: I [PDF]
, 2003 We consider the space of geodesic laminations on a surface, endowed with the Hausdorff metric d_H and with a variation of this metric called the d_log metric. We compute and/or estimate the Hausdorff dimensions of these two metrics.
Casson +7 more
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The Gromov–Hausdorff metric on the space of compact metric spaces is strictly intrinsic [PDF]
, 2015 It is proved that the Gromov-Hausdorff metric on the space of compact metric spaces considered up to an isometry is strictly intrinsic, i.e., the corresponding metric space is geodesic.
A. Ivanov, N. K. Nikolaeva, A. Tuzhilin
semanticscholar +1 more source
$G_\delta$-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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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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Inverse topology in MV-algebras [PDF]
Mathematica Bohemica, 2019 We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra $A$ and show that the set of all minimal prime ideals of $A$, namely ${\rm Min}(A)$, with the inverse topology is a compact space, Hausdorff, $T_0$-space and $T_1 ...
Fereshteh Forouzesh +2 more
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Almost periodic functions on Hausdorff almost periodic time scales
Advances in Difference Equations, 2017 This paper is devoted to generalizing the notion of almost periodic functions on time scales. We introduce a new class of almost periodic time scales called Hausdorff almost periodic time scales by using the Hausdorff distance and propose a more general ...
Desheng Ji, Liu Yang, Jimin Zhang
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Upper bounds of some matrix operators on binomial and Orlicz-binomial double sequence spaces
Scientific African, 2022 In this article, we introduce binomial double sequence space bk(α,β;γ,δ) (1≤k≤∞) and Orlicz-binomial double sequence space bφ(α,β;γ,δ), and obtain certain inclusion results related to these spaces.
Taja Yaying, Bipan Hazarika
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The Hausdorff topology as a moduli space
Topology and its Applications, 2017 In 1914, F. Hausdorff defined a metric on the set of closed subsets of a metric space $X$. This metric induces a topology on the set $H$ of compact subsets of $X$, called the Hausdorff topology. We show that the topological space $H$ represents the functor on the category of sequential topological spaces taking $T$ to the set of closed subspaces $Z$ of
Gillam, W. D., Karan, A.
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Compact self T1-complementary spaces without isolated points
Applied General Topology, 2009 We present an example of a compact Hausdorff self T1-complementary space without isolated points. This answers Question 3.11 from [A compact Hausdorff topology that is a T1-complementof itself, Fund. Math. 175 (2002), 163–173] affirmatively.
Mikhail Tkachenko
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