Essays about: "Urvalsaxiomet"
Found 3 essays containing the word Urvalsaxiomet.
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1. The Banach-Tarski Paradox : How I Learned to Stop Worrying and Love the Axiom of Choice
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : This thesis presents the strong and weak forms of the Banach-Tarski paradox based on the Hausdorff paradox. It provides modernized proofs of the paradoxes and necessary properties of equidecomposable and paradoxical sets. READ MORE
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2. Tychonoff's theorem and its equivalence with the axiom of choice
University essay from Umeå universitet/Institutionen för matematik och matematisk statistikAbstract : In this essay we give an elementary introduction to topology so that we can prove Tychonoff’s theorem, and also its equivalence with the axiom of choice. ... 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
