Samuel Eilenberg and Categories
نویسندگان
چکیده
منابع مشابه
Samuel Eilenberg 1913--1998
after a two-year illness brought on by a stroke. He left no surviving family, except for his wide family of friends, students, and colleagues, and the rich legacy of his life's work, in both mathematics and as an art collector. " Sammy " , as he has long been called by all who had the good fortune to know him, was one of the great architects of twentieth-century mathematics and definitively res...
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I I Sammy beer.1 I remember him best from a conference at Kazimierz, Poland, in . He was in fine form, but my impression was that he was in Poland then more for the memories than for the mathematics. Sammy grew up and reached mathematical maturity in Poland. He arrived in the United States on April , , when he was years old, escaping World War II. His parents, who w...
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In their classic book, Cartan and Eilenberg described a more-or-less general scheme for defining homology and cohomology theories for a number of different kinds of algebraic structure, using a general theory of augmented algebras. Later, in his doctoral dissertation, Beck showed how to use the theory of triples to derive a very different and completely general scheme for doing the same thing. ...
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Eilenberg-type correspondences, relating varieties of languages (e.g. of finite words, infinite words, or trees) to pseudovarieties of finite algebras, form the backbone of algebraic language theory. Numerous such correspondences are known in the literature. We demonstrate that they all arise from the same recipe: one models languages and the algebras recognizing them by monads on an algebraic ...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2002
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(01)00092-5