Results 61 to 70 of about 294 (153)
Results about the Alexandroff duplicate space
, 2016 In this paper, we present some new results about the Alexandroff Duplicate Space. We prove that if a space X has the property P, then its Alexandroff Duplicate space A(X) may not have P, where P is one of the following properties: extremally ...
Almontashery, Khulod +3 more
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Generalized Alexandroff–Urysohn squares and a characterization of the fixed point property
, 2010 Given a Hausdorff continuum X, we introduce a topology on X×X that yields a Hausdorff continuum. We call the resulting space the Alexandroff–Urysohn square of X and prove that X has the fixed point property if and only if the Alexandroff–Urysohn square ...
Hagopian, C.L., Marsh, M.M.
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Minimal Structure and Related Alexandroff Spaces [PDF]
, 2014 Alexandroff topological space is a kind of topology which satisfies a stronger condition. Namely, arbitrary intersections of open sets is open. The main aim of this thesis is to study the concepts of an Alexandroff topological spaces which related to a ...
Asad, Asmaa Asad
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AN ALEXANDROFF TOPOLOGY ON GRAPHS
, 2013 . Let G = (V, E) be a locally finite graph, i.e. a graph in which every vertex has finitely many adjacent vertices. In this paper, we associate a topology to G, called graphic topology of G and we show that it is an Alexandroff topology, i.e.
S M Jafarian Amiri +2 more
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On subsets of Alexandroff duplicates [PDF]
, 2005 summary:We characterize the subsets of the Alexandroff duplicate which have a G$_\delta$-diagonal and the subsets which are M-spaces in the sense of ...
Mizokami, Takemi, Takemi Mizokami
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On some non-Archimedean spaces of Alexandroff and Urysohn
, 1999 Classical characterizations of four separable metrizable spaces are recalled, and generalized to classes of spaces which admit a uniformity with a totally ordered base.
Nyikos, Peter J.
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Interaction between cellularity of Alexandroff spaces and entropy of generalized shift maps [PDF]
, 2016 summary:In the following text for a discrete finite nonempty set $K$ and a self-map $\varphi : X\to X$ we investigate interaction between different entropies of generalized shift $\mathop{\sigma_\varphi:K^X\to K^X}$, ${(x_\alpha)_{\alpha\in X}\mapsto (x_{
Dolatabad, Sahar Karimzadeh +2 more
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Alexandroff Theorem in Hausdorff Topology for Null-Null-Additive Set Multifunctions
Annals of the Alexandru Ioan Cuza University - Mathematics, 2013 Abstract In this paper we further a previous study concerning abstract regularity for monotone set multifunctions, with has immediate applications in well-known situations such as the Borel δ-algebra of a Hausdorff space and/or the Borel (Baire, respectively) δ-ring or δ-ring of a locally compact Hausdorff space.
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, 1999 In this paper we mean by an Alexandroff space a topological space such that every point has a minimal neighborhood. We do not assume that the space is T0. There spaces were first introduced by P.
F. G. Arenas
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