Results 31 to 40 of about 102 (83)
Математичні СтудіїLet $[0,\infty)$ be the set of all non-negative real numbers. The set $\boldsymbol{B}_{[0,\infty)}=[0,\infty)\times [0,\infty)$ with the following binary operation $(a,b)(c,d)=(a+c-\min\{b,c\},b+d-\min\{b,c\})$ is a bisimple inverse semigroup.
O. V. Gutik, M. B. Khylynskyi
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Parabolic isometries of the fine curve graph of the torus
Proceedings of the London Mathematical Society, Volume 129, Issue 2, August 2024.Abstract In this article, we finish the classification of actions of torus homeomorphisms on the fine curve graph initiated by Bowden, Hensel, Mann, Militon, and Webb. This is made by proving that if f∈Homeo(T2)$f \in \mathrm{Homeo}(\mathbb {T}^2)$, then f$f$ acts elliptically on C†(T2)$\mathcal {C}^{\dagger }(\mathbb {T}^2)$ if and only if f$f$ has ...
Pierre‐Antoine Guihéneuf +1 more
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Induced measures on Wallman spaces
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 4, Page 783-798, 1990., 1989 Let X be an abstract set and ℒ a lattice of subsets of X. To each lattice‐regular measure μ, we associate two induced measures μˆ and μ˜ on suitable lattices of the Wallman space IR(ℒ) and another measure μ′ on the space IRσ(ℒ). We will investigate the reflection of smoothness properties of μ onto μˆ, μ˜ and μ′ and try to set some new criterion for ...
El-Bachir Yallaoui
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On measure repleteness and support for lattice regular measures
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 707-724, 1987., 1987 The present paper is mainly concerned with establishing conditions which .assure that all lattice regular measures have additional smoothness properties or that simply all two‐valued such measures have such properties and are therefore Dirac measures. These conditions are expressed in terms of the general Wallman space.
George Bachman, P. D. Stratigos
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Extensions of topological spaces with strongly-discrete remainder
, 1999 The construction of the Alexandroff one-point compactification is extended to provide paracompact extensions of locally compact Hausdorff spaces with strongly-discrete ...
Collins, P.J.
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Perfect compactifications of frames [PDF]
, 1991 summary:Perfect compactifications of frames are introduced. It is shown that the Stone-Čech compactification is an example of such a compactification.
Baboolal, Dharmanand +4 more
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Uniform Eberlein compactifications of metrizable spaces
, 2012 We prove that each metrizable space X (of size |X|⩽c) has a (first countable) uniform Eberlein compactification and each scattered metrizable space has a scattered hereditarily paracompact compactification. Each compact scattered hereditarily paracompact
Arkady Leiderman +3 more
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, 2004 By an A-spectral space, we mean a topological space X such that the Alexandroff extension (one point compactification) of X is a spectral space.
Belaid, Karim +2 more
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A remark on proper partitions of unity
, 2012 In this paper we introduce, by means of the category of exterior spaces and using a process that generalizes the Alexandroff compactification, an analogue notion of numerable covering of a space in the proper and exterior setting. An application is given
García Calcines, Jose M.
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On a core concept of Arhangel'skiĭ
, 2010 Arhangel'skiĭ [A.V. Arhangel'skiĭ, Locally compact spaces of countable core and Alexandroff compactification, Topology Appl. 154 (2007) 625–634] has introduced a weakening of σ-compactness: having a countable core, for locally compact spaces, and asked ...
Tall, Franklin D.
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