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Neighbourhood systemsLok, R. W. January 1985 (has links)
No description available.
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Continuity and effectiveness in topoiRosolini, G. January 1986 (has links)
No description available.
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On Sets and Functions in a Metric SpaceBeeman, Anne L. 12 1900 (has links)
The purpose of this thesis is to study some of the properties of metric spaces. An effort is made to show that many of the properties of a metric space are generalized properties of R, the set of real numbers, or Euclidean n--space, and are specific cases of the properties of a general topological space.
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The Fundamental Group of Certain Toplogical SpacesHopkins, Billy L. 12 1900 (has links)
The problem confronted in this thesis is that of determining direct calculations of the fundamental group of certain topological spaces.
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Radical operations in rings and topological spacesRosenlund, Magnus January 2004 (has links)
No description available.
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Radical operations in rings and topological spacesRosenlund, Magnus January 2004 (has links)
No description available.
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Comparison of Some Mappings in TopologyAslan, Farhad 01 1900 (has links)
The main purpose of this paper is the study of transformations in topological space and relationships between special types of transformations.
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Separation PropertiesGarvin, Billy Ray 12 1900 (has links)
The problem with which this paper is concerned is that of investigating a class of topological properties commonly called separation properties. A topological space which satisfies only the definition may be very limited in open sets. By use of the separation properties, specific families of open sets can be guaranteed.
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An answer to a question of David A. RoseCaldas, Miguel 25 September 2017 (has links)
In 1984 David.A. Rose {3} asked the following question: When a surjection f : X →Y , is weak openness related to the condition Cl(f(U)) f(Cl(U)) for each open U X?. In this note we give an alternative answer to his question.
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Svazové konstrukce a dualita Priestleyové / Lattice constructions and Priestley dualityHartman, Juraj January 2019 (has links)
In this thesis after recalling some basic definitions and theorems in category theory, lattice theory and topology we first introduce the so called Stone duality of the category of boolean lattices and the category of boolean topological spaces. Then we introduce its generalization, the so called Priestley duality of the category of bounded distributive lattices and the category of total order disconnected topological spaces. Then we introduce the M3[.] lattice construction and prove that for every bounded distributive lattice L there is an isomorphism from the lattice M3[L] to the lattice of all continuous monotone maps from the Priestley space of L to the lattice M3 with discrete topology. Finally we introduce the so called boolean power, which we generalize to the so called priestley power and we prove that for every natural number n ≥ 3 and every bounded distributive lattice L there is an isomorphism from the lattice Mn to the priestley power of the lattice Mn by the lattice L. 1
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