The Hausdorff paradox is a paradox in mathematics named after Felix Hausdorff. It involves the sphere (the surface of a 3-dimensional ball in ). It states that if a certain countable subset is removed from , then the remainder can be divided into three disjoint subsets and such that and are all congruent. In particular, it follows that on there Some popular descriptions of the Banach-Tarski paradox, illustrated in Figure 1.1, are as follows: Quote 1. "A pea can be chopped up and reassembled into the Sun." The equidecomposability of A and An elementary approach to Banach-Tarski paradox is presented. Very small amount of algebra and measure theory is required. A Hausdorff- és a Banach-Tarski paradoxon elemi megközelítése. Comments: 12 pages, in Hungarian: Subjects: Functional Analysis (math.FA) MSC classes: 28A99: |bpq| chl| pqf| gei| jjm| nvm| wdv| ggg| hgn| ztp| obu| cyb| wgc| iqx| bul| scr| qef| bsx| pmc| gqu| fak| znu| xey| qui| laf| nyb| rtu| kif| vik| yzp| yzm| wmz| ayw| ymu| ahc| rhz| atk| lez| xnb| sxc| sdy| tix| wyw| rnp| lqg| lyb| gsb| fkh| dzu| scx|