…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 |
<<: Schjelderup-Ebbe, T. (English notation)SchjelderupEbbeT
[Born] Emperor Yuejong 1 (1106) [Died] Myeongjong ...
… [Ikuho Osawa]. … *The following is a partial ex...
...It is well known that matter generally exists ...
A book that explains how to govern the country. 1...
...Amid the wars of the Five Dynasties at the end...
The term "state control" refers to the p...
…Behaviorism focuses on behavior rather than the ...
〘Noun〙 The name of a dish. A clear soup made with ...
… Because there is no dominance or inferiority be...
...In this sense, decision-making in India is top...
French composer. He was taught music by his mothe...
Located in the central-northern part of Hakusan Ci...
…Depending on the species, some flatworms perform...
French conductor. He studied flute and conducting...
…Another name for the god of rice fields. It is m...