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On Locally Connected Sets and Retracts. [PDF]
Lefschetz S.
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On the Concept of a Topological Space. [PDF]
Alexander JW.
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An algebraic description of stereochemical correspondence. [PDF]
Nourse JG.
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ON THE DUALITY THEOREMS FOR THE BETTI NUMBERS OF TOPOLOGICAL MANIFOLDS. [PDF]
Lefschetz S, Flexner WW.
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Ordered Sets, Complexes and the Problem of Compactification. [PDF]
Alexander JW.
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Discontinuous Groups and Allied Topics: I. [PDF]
Zorn M.
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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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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 ...
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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 ...
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