…The idea of using group theory in algebra to study the continuity of geometric shapes was truly revolutionary, and topology gained a powerful research method. This method was continued by L.E.J. Broel, and in the 1920s by O.Veblen (1880-1960), J.W.A.lexander, S.Lefschetz, and others, who made it more precise and generalized. Furthermore, through this process, the fixed point theorem and other theories were obtained, and the importance of topology to almost all fields of mathematics was recognized. … *Some of the terminology that mentions "Veblen, O." is listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…図形の連続性を研究するのに代数学における群論を利用するという考えはまことに画期的で,ここに位相幾何学は有力な研究法を得た。この方法は,L.E.J.ブローエルに続いて,1920年代にはベブレンO.Veblen(1880‐1960),アレクサンダーJ.W.Alexander,S.レフシェッツらによって受け継がれ,厳密化されるとともに一般化された。さらに,この過程を通じて,不動点定理などが得られて,数学のほとんど全分野に対する位相幾何学の重要性が認識された。… ※「Veblen,O.」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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