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NATIONAL ACADEMY OF SCIENCES July 1, 1970. [PDF]
Proc Natl Acad Sci U S A, 1970 europepmc +1 more source
Quaestiones Mathematicae, 2007 Bi-Alexandroff spaces are defined as extensions of Alexandroff spaces [1]. Urysohn's lemma for bi-Alexandroff spaces is used to show that upper and lower cozero sets of bitopological spaces are bi-Alexandroff spaces. An adjunction between bi-Alexandroff spaces and pairwise completely regular bitopological spaces is established.Keywords: Bi-Alexandroff ...
Matutu, Phethiwe P
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Alexandroff L-co-topological spaces
Fuzzy Sets and Systems, 2010The paper deals with Alexandroff \(L\)-topological spaces and \(L\)-co-topological spaces, where \((L,I,\ast,\to)\) is a commutative, unital quantale. It is proved that every finite strong \(L\)-co-topological space is Alexandroff and that the category of Alexandroff strong \(L\)-co-topological spaces is the coreflective hull of the subcategory of ...
Dexue Zhang
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The proper homotopy of Alexandroff spaces
Quaestiones MathematicaeThis paper introduces the study of the infinity in the class of Alexandroff spaces by establishing the proper category of locally finite Alexandroff spaces. We observe that the McCord and Clader heorems are available in this setting. The paper can be considered as the starting point of a seemingly new research: relating the combinatorics and ...
Tomáš FernÁndez-Bayort
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Small inductive dimension and Alexandroff topological spaces
Topology and Its Applications, 2014 Alexandroff spaces include finite spaces and have a wide range of applications in many areas such as computer graphics and image analysis. We give results on small inductive dimension of Alexandroff T0-spaces.
Moshokoa, Seithuti P. +2 more
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