In mathematics, the Puppe sequence is a construction of homotopy theory, so named after Dieter Puppe. It comes in two forms: a long exact sequence, built from the mapping fibre (a fibration), and a long coexact sequence, built from the mapping cone (which is a cofibration). Intuitively, the Puppe sequence allows us to think of homology theory as a functor that takes spaces to long-exact sequences of groups. It is also useful as a tool to build long exact sequences of relative homotopy groups.
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| - Puppe-Folge (de)
- Suite de Puppe (fr)
- 푸페 완전열 (ko)
- Puppe sequence (en)
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| - In der Mathematik ist die Puppe-Folge eine Konstruktion der Homotopietheorie. Sie wurde 1958 von Dieter Puppe eingeführt und ist auch unter der Bezeichnung Puppe-Sequenz geläufig. (de)
- La suite de Puppe — nommée d'après Dieter Puppe — est une construction mathématique en topologie algébrique, plus précisément en théorie de l'homotopie. (fr)
- In mathematics, the Puppe sequence is a construction of homotopy theory, so named after Dieter Puppe. It comes in two forms: a long exact sequence, built from the mapping fibre (a fibration), and a long coexact sequence, built from the mapping cone (which is a cofibration). Intuitively, the Puppe sequence allows us to think of homology theory as a functor that takes spaces to long-exact sequences of groups. It is also useful as a tool to build long exact sequences of relative homotopy groups. (en)
- 호모토피 이론에서 푸페 완전열(Puppe完全列, 영어: Puppe exact sequence)은 어떤 연속 함수로부터 유도되는 긴 완전열이다. (ko)
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| - In der Mathematik ist die Puppe-Folge eine Konstruktion der Homotopietheorie. Sie wurde 1958 von Dieter Puppe eingeführt und ist auch unter der Bezeichnung Puppe-Sequenz geläufig. (de)
- La suite de Puppe — nommée d'après Dieter Puppe — est une construction mathématique en topologie algébrique, plus précisément en théorie de l'homotopie. (fr)
- In mathematics, the Puppe sequence is a construction of homotopy theory, so named after Dieter Puppe. It comes in two forms: a long exact sequence, built from the mapping fibre (a fibration), and a long coexact sequence, built from the mapping cone (which is a cofibration). Intuitively, the Puppe sequence allows us to think of homology theory as a functor that takes spaces to long-exact sequences of groups. It is also useful as a tool to build long exact sequences of relative homotopy groups. (en)
- 호모토피 이론에서 푸페 완전열(Puppe完全列, 영어: Puppe exact sequence)은 어떤 연속 함수로부터 유도되는 긴 완전열이다. (ko)
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