Essays about: "topologiskt rum"
Found 3 essays containing the words topologiskt rum.
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1. Minimal Cantor sets
University essay from KTH/Matematik (Avd.)Abstract : A Cantor set is a topological space which admits a hierarchy of clopen covers. A minimal Cantor set is a Cantor set together with a map such that every orbit is dense in the Cantor set. In this thesis we us inverse limits to study minimal Cantor sets and their properties. READ MORE
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2. Algebraic Simplifications of Metric Information
University essay from KTH/Matematik (Avd.)Abstract : This thesis is about how to interpret metric data with topological tools, such as homology. We show how to go from a metric space to a topological space via Vietoris-Rips complexes. We use the usual approach to Topological Data Analysis (TDA), and transform our metric space into tame parametrised vector spaces. READ MORE
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3. From the Axiom of Choice to Tychono ’s Theorem
University essay from Örebro universitet/Institutionen för naturvetenskap och teknikAbstract : A topological space X, is shown to be compact if and only if every net in X has a cluster point. If s is a net in a product Q 2A X, where each Xis a compact topological space, then, for every subset B of A, such that the restriction of s to B has a cluster point in the partial product Q 2B X, it is found that the restriction of s to B [ fg – extending B by one element 2 A n B – has a cluster point in its respective partial product Q 2B[fg X, as well. READ MORE
