Essays about: "Mats Karl Anders Wahlberg"

Found 1 essay containing the words Mats Karl Anders Wahlberg.

  1. 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 statistik

    Author : Mats Karl Anders Wahlberg; [2022]
    Keywords : Banach; Tarski; Banach-Tarski; Banach-Tarski paradox; Hausdorff; Hausdorff paradox; paradox; measure; measure theory; axiom of choice; Banach; Tarski; Banach-Tarski; Banach-Tarskis paradox; Hausdorff; Hausdorffs paradox; paradox; mått; måtteori; urvalsaxiomet; valaxiomet;

    Abstract : 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