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310:) that generalized the cup product. The additional structure made cohomology a finer invariant. The Steenrod cohomology operations form a (non-commutative) algebra under composition, known as the
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from 1939 to 1942, and the
University of Michigan from 1942 to 1947. He moved to Princeton University in 1947, and remained on the Faculty there for the rest of his career. He was editor of the
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was understood by the early 1940s. Steenrod was able to define operations from one cohomology group to another (the so-called
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582:. The Mathematical Association of America New Mathematical Library. Miami: 1966.
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Steenrod, Norman E. (1947). "Products of cocycles and extensions of mappings".
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Proceedings of the
National Academy of Sciences of the United States of America
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668:. Lectures by N. E. Steenrod. Written and revised by D. B. A. Epstein"
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231:(April 22, 1910 – October 14, 1971) was an American
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Steenrod, Norman E. (1943). "Homology with local coefficients".
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Members of the United States
National Academy of Sciences
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most widely known for his contributions to the field of
259:(A.B. 1932). After receiving a master's degree from
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267:. He completed his Ph.D. under the direction of
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325:, he was a founder of the axiomatic approach to
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321:is a standard reference. In collaboration with
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429:"Axiomatic approach to homology theory"
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593:"Norman Steenrod, Expert in Topology"
773:20th-century American mathematicians
298:Thanks to Lefschetz and others, the
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601:. October 16, 1971. p. 34
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427:; Steenrod, Norman E. (1945).
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813:University of Michigan alumni
803:University of Chicago faculty
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627:The topology of fibre bundles
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319:The Topology of Fibre Bundles
793:Princeton University faculty
662:Szczarba, Robert H. (1964).
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288:National Academy of Sciences
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625:"Review: Norman Steenrod,
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348:Eilenberg–Steenrod axioms
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721:University of St Andrews
263:in 1934, he enrolled at
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271:, with a thesis titled
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257:University of Michigan
159:University of Michigan
91:University of Michigan
16:American mathematician
666:Cohomology operations
536:Cohomology operations
493:Annals of Mathematics
456:10.1073/pnas.31.4.117
388:Annals of Mathematics
284:Annals of Mathematics
280:University of Chicago
155:University of Chicago
71:Princeton, New Jersey
798:American topologists
707:Robertson, Edmund F.
531:Epstein, David B. A.
286:and a member of the
265:Princeton University
229:Norman Earl Steenrod
163:Princeton University
109:Princeton University
705:O'Connor, John J.;
447:1945PNAS...31..117E
368:Steenrod operations
217:George W. Whitehead
742:2008-12-31 at the
598:The New York Times
261:Harvard University
251:, and educated at
237:algebraic topology
209:Paul A. Schweitzer
100:Harvard University
711:"Norman Steenrod"
550:978-0-691-07924-0
425:Eilenberg, Samuel
363:Steenrod homology
343:Abstract nonsense
269:Solomon Lefschetz
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135:Scientific career
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170:Doctoral advisor
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65:(1971-10-14)
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768:1971 deaths
763:1910 births
300:cup product
145:Mathematics
79:Nationality
757:Categories
566:References
304:cohomology
44:1910-04-22
664:"Review:
605:March 29,
317:His book
185:José Adem
740:Archived
623:(1958).
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337:See also
82:American
729:at the
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409:1969099
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
