…The term topology also first appeared in literature as the title of a pamphlet written by JB Listing (1808-82) in 1847. Following these people, surfaces were also studied by C. Jordan, L. Schläfli (1814-95), W. F. von Dyck (1856-1934), and others, and by the end of the 19th century, the classification of closed surfaces by homeomorphism was completed. Regarding curves, Jordan's theorem was proven (1893), which states that if a closed curve that does not intersect itself lies on a plane, it divides the plane into two regions, inside and outside, and G. Peano discovered a continuous curve that fills the interior of a square (1890), which raised questions about the definition of curves and dimensions. … *Some of the terminology that mentions "Schläfli, L." is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…トポロジーということばも,リスティングJ.B.Listing(1808‐82)が1847年に書いた小冊子の表題として初めて文献に現れた。曲面はこれらの人たちに続いて,C.ジョルダン,シュレーフリL.Schläfli(1814‐95),ディックW.F.A.von Dyck(1856‐1934)らによっても研究され,19世紀末葉には閉曲面の同相による分類が完成した。曲線については,〈自分自身と交わらない閉曲線が平面上にあるとき,それは平面を内と外の二つの領域に分かつ〉というジョルダンの定理が証明され(1893),また正方形の内部をうめつくす連続曲線がG.ペアノによって発見されて(1890),曲線や次元の定義が問題となった。… ※「Schläfli,L.」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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