• Thumbnail for Saunders Mac Lane
    Saunders Mac Lane (August 4, 1909 – April 14, 2005), born Leslie Saunders MacLane, was an American mathematician who co-founded category theory with Samuel...
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  • structure, by the American mathematician Saunders Mac Lane. Throughout his book, and especially in chapter I.11, Mac Lane informally discusses how mathematics...
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  • Thumbnail for Samuel Eilenberg
    Polish-American mathematician who co-founded category theory (with Saunders Mac Lane) and homological algebra. He was born in Warsaw, Kingdom of Poland...
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  • screenwriter Evan MacLane (born 1982), American baseball player Mary MacLane (1881–1929), Canadian-born American writer Saunders Mac Lane (1909–2005), American...
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  • is a textbook in category theory written by American mathematician Saunders Mac Lane, who cofounded the subject together with Samuel Eilenberg. It was...
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  • derived from Samuel Eilenberg and Saunders Mac Lane, who introduced such spaces in the late 1940s. As such, an Eilenberg–MacLane space is a special kind of topological...
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  • theory, Mac Lane's planarity criterion is a characterisation of planar graphs in terms of their cycle spaces, named after Saunders Mac Lane, who published...
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  • Thumbnail for Category theory
    structures and their relations. It was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic...
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  • category theory, a branch of mathematics, Mac Lane coherence theorem states, in the words of Saunders Mac Lane, “every diagram commutes”. More precisely...
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  • result is often called the Steinitz–Mac Lane exchange lemma, also recognizing the generalization by Saunders Mac Lane of Steinitz's lemma to matroids. Let...
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  • Samuel Eilenberg that introduced the notion of a "category" in 1942, Saunders Mac Lane wrote the subject was 'then called "general abstract nonsense"'. The...
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  •  210–211. doi:10.1007/978-3-319-71350-2. ISBN 978-3-319-71349-6. Saunders Mac Lane, Ieke Moerdijk, (1992): Sheaves in Geometry and Logic Springer-Verlag...
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  • truth, should be the goal of a proper philosophy of Mathematics. - Saunders Mac Lane, Mathematics: Form and Function The composition symbol ∘ is encoded...
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  • Thumbnail for John G. Thompson
    doctorate from the University of Chicago in 1959 under the supervision of Saunders Mac Lane. After spending some time on the mathematics faculty at the University...
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  • Thumbnail for Category (mathematics)
    on category theory is Categories for the Working Mathematician by Saunders Mac Lane. Other references are given in the References below. The basic definitions...
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  • Waerden described the sources he drew upon to write the book. In 1997 Saunders Mac Lane recollected the book's influence: Upon its publication it was soon...
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  • dissertation "k-fold recursion and well-ordering". He was a student of Saunders Mac Lane. The Howard ordinal (also known as the Bachmann–Howard ordinal) was...
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  • Thumbnail for David Eisenbud
    in 1970 from the University of Chicago, where he was a student of Saunders Mac Lane and, unofficially, James Christopher Robson. He then taught at Brandeis...
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  • case of algebras over a commutative ring by Samuel Eilenberg and Saunders Mac Lane (1953) and Henri Cartan and Eilenberg (1956, IX.6) and has since been...
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  • compute derived functors. In Categories for the Working Mathematician Saunders Mac Lane titled a section "All Concepts Are Kan Extensions", and went on to...
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  • Thumbnail for Marshall H. Stone
    several notable mathematicians including Paul Halmos, André Weil, Saunders Mac Lane, Antoni Zygmund, and Shiing-Shen Chern. He remained on the faculty...
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  • Thumbnail for SPQR tree
    the planar embeddings of a planar graph, were first investigated by Saunders Mac Lane (1937); these structures were used in efficient algorithms by several...
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  • Thumbnail for Equivalence relation
    York: Springer. p. 41. ISBN 978-0-387-90104-6. Garrett Birkhoff and Saunders Mac Lane, 1999 (1967). Algebra, 3rd ed. p. 35, Th. 19. Chelsea. Wallace, D...
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  • Marshall Stone and Saunders Mac Lane, substantially advanced American teaching and research in abstract algebra. In 1941 he and Mac Lane published A Survey...
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  • subgraph can be generated from two to exactly one. Mac Lane's planarity criterion, named after Saunders Mac Lane, characterizes planar graphs in terms of their...
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  • Thumbnail for Robert M. Solovay
    D. from the University of Chicago in 1964 under the direction of Saunders Mac Lane, with a dissertation on A Functorial Form of the Differentiable Riemann–Roch...
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  • Thumbnail for List of important publications in mathematics
    and had powerful and important consequences. Saunders Mac Lane (1971, second edition 1998) Saunders Mac Lane, one of the founders of category theory, wrote...
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  • Greatest common divisor, pp. 856–862. Saunders Mac Lane and Garrett Birkhoff. A Survey of Modern Algebra, Fourth Edition. MacMillan Publishing Co., 1977. ISBN 0-02-310070-2...
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  • Thumbnail for Steve Awodey
    the University of Chicago. He earned his Ph.D. from Chicago under Saunders Mac Lane in 1997. He is an active researcher in the areas of category theory...
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  • Escher, Bach by Douglas Hofstadter Mathematics, Form and Function by Saunders Mac Lane A Mathematician's Apology by G.H. Hardy The Man Who Mistook His Wife...
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