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Saunders Mac Lane
Born
Leslie Saunders MacLane
(1909-08-04)4 August 1909
Taftville, Connecticut, U.S.
Died
14 April 2005(2005-04-14) (aged 95)[3]
San Francisco, California, U.S.
Nationality
American
Alma mater
Yale University (BA) University of Chicago (MA) University of Göttingen (PhD)
Known for
Acyclic model Category theory Shuffle algebra Standard complex Mac Lane coherence theorem Mac Lane set theory Mac Lane's condition Mac Lane's planarity criterion Eilenberg–MacLane space Steinitz–Mac Lane exchange lemma
Spouse
Dorothy Jones (m. 1934)
Awards
Chauvenet Prize (1941)[1][2] Leroy P. Steele Prize (1986) National Medal of Science (1989)
Scientific career
Fields
Mathematical logic Algebraic number theory Algebraic topology
Institutions
Harvard University Cornell University University of Chicago Columbia University
Doctoral advisor
Hermann Weyl Paul Bernays
Doctoral students
Steve Awodey David Eisenbud William Howard Irving Kaplansky Roger Lyndon Michael D. Morley Anil Nerode Robert Solovay John G. Thompson
Saunders Mac Lane (August 4, 1909 – April 14, 2005), born Leslie Saunders MacLane, was an American mathematician who co-founded category theory with Samuel Eilenberg.
SaundersMacLane (August 4, 1909 – April 14, 2005), born Leslie SaundersMacLane, was an American mathematician who co-founded category theory with Samuel...
Polish-American mathematician who co-founded category theory (with SaundersMacLane) and homological algebra. He was born in Warsaw, Kingdom of Poland...
is a textbook in category theory written by American mathematician SaundersMacLane, who cofounded the subject together with Samuel Eilenberg. It was...
screenwriter Evan MacLane (born 1982), American baseball player Mary MacLane (1881–1929), Canadian-born American writer SaundersMacLane (1909–2005), American...
structures and their relations that was introduced by Samuel Eilenberg and SaundersMacLane in the middle of the 20th century in their foundational work on algebraic...
result is often called the Steinitz–MacLane exchange lemma, also recognizing the generalization by SaundersMacLane of Steinitz's lemma to matroids. Let...
category theory, a branch of mathematics, MacLane coherence theorem states, in the words of SaundersMacLane, “every diagram commutes”. More precisely...
the planar embeddings of a planar graph, were first investigated by SaundersMacLane (1937); these structures were used in efficient algorithms by several...
Samuel Eilenberg that introduced the notion of a "category" in 1942, SaundersMacLane wrote the subject was 'then called "general abstract nonsense"'. The...
case of algebras over a commutative ring by Samuel Eilenberg and SaundersMacLane (1953) and Henri Cartan and Eilenberg (1956, IX.6) and has since been...
Marshall Stone and SaundersMacLane, substantially advanced American teaching and research in abstract algebra. In 1941 he and MacLane published A Survey...
truth, should be the goal of a proper philosophy of Mathematics. - SaundersMacLane, Mathematics: Form and Function The composition symbol ∘ is encoded...
compute derived functors. In Categories for the Working Mathematician SaundersMacLane titled a section "All Concepts Are Kan Extensions", and went on to...
in 1970 from the University of Chicago, where he was a student of SaundersMacLane and, unofficially, James Christopher Robson. He then taught at Brandeis...
Waerden described the sources he drew upon to write the book. In 1997 SaundersMacLane recollected the book's influence: Upon its publication it was soon...
dissertation "k-fold recursion and well-ordering". He was a student of SaundersMacLane. The Howard ordinal (also known as the Bachmann–Howard ordinal) was...
the University of Chicago. He earned his Ph.D. from Chicago under SaundersMacLane in 1997. He is an active researcher in the areas of category theory...
and had powerful and important consequences. SaundersMacLane (1971, second edition 1998) SaundersMacLane, one of the founders of category theory, wrote...
Intuitionistic type theory Mathematical object Space (mathematics) Saunders, MacLane (1996). "Structure in Mathematics" (PDF). Philosoph1A Mathemat1Ca...
Daniel Kan Hermann Künneth Ruth Lawrence Solomon Lefschetz Jean Leray SaundersMacLane Mark Mahowald J. Peter May Barry Mazur John Milnor John Coleman Moore...
history of science and of mathematics. He has written papers about SaundersMacLane, one of the founders of category theory. McLarty's Elementary Categories...
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