Results 31 to 40 of about 5,551 (211)
When ${\rm Min}(G)^{-1}$ has a clopen $øldpi$-base [PDF]
Mathematica Bohemica, 2021 It is our aim to contribute to the flourishing collection of knowledge centered on the space of minimal prime subgroups of a given lattice-ordered group. Specifically, we are interested in the inverse topology. In general, this space is compact and $T_1$,
Ramiro Lafuente-Rodriguez +1 more
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On a vector space construction by Hausdorff [PDF]
Proceedings of the American Mathematical Society, 1957 Initroduction. Some years ago Hausdorff, using Hamel bases, showed that any infinite dimensional real Banach space contained a second category linear subspace that was not complete under any equivalent norm [5]. It is shown below that a slight abstraction of his construction leads to the following: (A) a "multiple offender" example (Theorem 3), one ...
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Compactification of closed preordered spaces
Applied General Topology, 2012 A topological preordered space admits a Hausdorff T2-preorder compactification if and only if it is Tychonoff and the preorder is represented by the family of continuous isotone functions.
E. Minguzzi
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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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𝒩 -Prime Spectrum of Stone Almost Distributive Lattices
Discussiones Mathematicae - General Algebra and Applications, 2021 Introduced the notions of annulets and 𝒩 -filters in stone Almost Distributive Lattices and investigated their properties. Utilized annulets to characterize the 𝒩 -filters.
Rafi N., Bandaru Ravi Kumar, Srujana M.
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On Functionally Hausdorff Spaces
Missouri Journal of Mathematical Sciences, 2013 Some properties related to functionally Hausdorff spaces are studied. For instance those topological spaces are characterized for which the functionally Hausdorff-reflection is a spectral space.
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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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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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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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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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