The nLab is a wiki for research-level notes, expositions and collaborative work, including original research, in mathematics, physics, and philosophy, with a focus on methods from type theory, category theory, and homotopy theory. The nLab espouses the "n-point of view" (a deliberate pun on Wikipedia's "neutral point of view") that type theory, homotopy theory, category theory, and higher category theory provide a useful unifying viewpoint for mathematics, physics and philosophy. The n in n-point of view could refer to either n-categories as found in higher category theory, n-groupoids as found in both homotopy theory and higher category theory, or n-types as found in homotopy type theory.
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| - NLab (ja)
- NLab (ko)
- NLab (en)
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| - The nLab is a wiki for research-level notes, expositions and collaborative work, including original research, in mathematics, physics, and philosophy, with a focus on methods from type theory, category theory, and homotopy theory. The nLab espouses the "n-point of view" (a deliberate pun on Wikipedia's "neutral point of view") that type theory, homotopy theory, category theory, and higher category theory provide a useful unifying viewpoint for mathematics, physics and philosophy. The n in n-point of view could refer to either n-categories as found in higher category theory, n-groupoids as found in both homotopy theory and higher category theory, or n-types as found in homotopy type theory. (en)
- nLab は、数学・物理学・哲学の研究レベルの内容について扱ったウィキである。 圏論やホモトピー論の手法に焦点を当てているという特徴を持ち、ノートや説明的な記事のみならず、オリジナルの共同研究の場としても使われている。nLabは "n-point of view"(n的観点)という理念を掲げている。これはウィキペディアの「中立的な (neutral) 観点」をもじったものであり、圏論、特に高次のによってもたらされる統一的な視点が数学・物理学・哲学にとって有用であるという考えを表している。 (ja)
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| - The nLab is a wiki for research-level notes, expositions and collaborative work, including original research, in mathematics, physics, and philosophy, with a focus on methods from type theory, category theory, and homotopy theory. The nLab espouses the "n-point of view" (a deliberate pun on Wikipedia's "neutral point of view") that type theory, homotopy theory, category theory, and higher category theory provide a useful unifying viewpoint for mathematics, physics and philosophy. The n in n-point of view could refer to either n-categories as found in higher category theory, n-groupoids as found in both homotopy theory and higher category theory, or n-types as found in homotopy type theory. (en)
- nLab は、数学・物理学・哲学の研究レベルの内容について扱ったウィキである。 圏論やホモトピー論の手法に焦点を当てているという特徴を持ち、ノートや説明的な記事のみならず、オリジナルの共同研究の場としても使われている。nLabは "n-point of view"(n的観点)という理念を掲げている。これはウィキペディアの「中立的な (neutral) 観点」をもじったものであり、圏論、特に高次のによってもたらされる統一的な視点が数学・物理学・哲学にとって有用であるという考えを表している。 (ja)
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