prick-test 发表于 2025-3-23 10:12:05
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Introduction,Mathematics has never been the same since. Cantor’s finding implies, in particular, that the interval can be mapped bijectively onto the square .. The question arose almost immediately whether or not such a mapping can possibly be continuous. In 1879, E. Netto put an end to such speculatiConsequence 发表于 2025-3-24 00:00:51
,Hilbert’s Space-Filling Curve,a (which was renamed Kaliningrad when it was incorporated into Russia in 1945) and died in Göttingen. He studied at the University of Königsberg, except for the second semester, which he spent at the University of Heidelberg, and received his doctor’s degree in 1884 C.L.F. Lindemann (who, in 1882, scathartic 发表于 2025-3-24 02:54:01
,Sierpiński’s Space-Filling Curve, degree in science. He went on to teach grammar school and participated in the great school strike that was connected with the 1905 revolution. He then went on to Cracow where, at the University of Cracow, he received his doctor’s degree in 1906. After teaching at a grammar school, he became docent不易燃 发表于 2025-3-24 08:28:12
,Lebesgue’s Space-Filling Curve,ndix the set of all points that can be represented by .where . = 0 or 1, as an example of a perfect set (a set that is equal to the set of all its accumulation points) that is not dense in any interval, no matter how small (Cantor ). This set, which had its humble beginnings as a counterexample i伪造者 发表于 2025-3-24 13:57:40
Continuous Images of a Line Segment,cterization of such sets. In 1908, A. Schoenflies found such a characterization (see Schoenflies , p. 237), which, by its very nature, only applies to sets in the two-dimensional plane. In 1913, Hans Hahn and Stefan Mazurkiewicz independently arrived at a complete characterization of such sets in专横 发表于 2025-3-24 15:44:23
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http://reply.papertrans.cn/88/8733/873222/873222_19.png使害怕 发表于 2025-3-25 02:34:05
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