Norman Earl Steenrod (April 22, 1910 – October 14, 1971) was an American mathematician most widely known for his contributions to the field of algebraic...

In algebraic topology, a Steenrod algebra was defined by Henri Cartan (1955) to be the algebra of stable cohomology operations for mod p {\displaystyle...

In algebraic topology, Steenrod homology is a homology theory for compact metric spaces introduced by Norman Steenrod (1940, 1941), based on regular cycles...

In mathematics, specifically in algebraic topology, the Eilenberg–Steenrod axioms are properties that homology theories of topological spaces have in common...

of Riemannian geometry bear the name Myers–Steenrod theorem, both from a 1939 paper by Myers and Steenrod. The first states that every distance-preserving...

In mathematics, especially homological algebra and other applications of abelian category theory, the five lemma is an important and widely used lemma...

associated commutative algebra from the noncommutative Steenrod algebras called the dual Steenrod algebra. This dual algebra has a number of surprising...

mathematics, and particularly homology theory, Steenrod's Problem (named after mathematician Norman Steenrod) is a problem concerning the realisation of...

theorem is a theorem about relative homology and one of the Eilenberg–Steenrod axioms. Given a topological space X {\displaystyle X} and subspaces A {\displaystyle...

Lewis Steenrod (May 27, 1810 – October 3, 1862) was a nineteenth-century politician and lawyer from Virginia, who helped secure Congressional authorization...

Cartan. one in algebraic topology, which is one of the five axioms of Steenrod algebra. It reads: S q n ( x ⌣ y ) = ∑ i + j = n ( S q i x ) ⌣ ( S q j...

Thom showed that the Thom class, the Stiefel–Whitney classes, and the Steenrod operations were all related. He used these ideas to prove in the 1954 paper...

Pontryagin, Postnikov, and Norman Steenrod, who first defined the Pontryagin square, Postnikov square, and Steenrod square operations for singular cohomology...

general, the sequence holds for those theories satisfying the Eilenberg–Steenrod axioms, and it has variations for both reduced and relative (co)homology...

on the axiomatic treatment of homology theory with Norman Steenrod (and the Eilenberg–Steenrod axioms are named for the pair), and on homological algebra...

; Spencer, D. C.; Steenrod, N. E. (1959), Advanced Calculus, Princeton, N.J.: Van NostrandNickerson, H. K.; Spencer, D. C.; Steenrod, Norman Earl (2011)...

attributed to Herbert Seifert, Heinz Hopf, Jacques Feldbau, Whitney, Norman Steenrod, Charles Ehresmann, Jean-Pierre Serre, and others. Fiber bundles became...

His thesis, titled Espaces fibrés en sphères et carrés de Steenrod (Sphere bundles and Steenrod squares), was written under the direction of Henri Cartan...

homology of the Eilenberg–MacLane spaces, he introduced the notion of Steenrod algebra, and, together with Jean-Pierre Serre, developed the method of...

The failure of graded-commutativity at the cochain level leads to the Steenrod operations on mod p cohomology. Very informally, for any topological space...

most often defined implicitly in terms of Steenrod squares, as the cohomology class representing the Steenrod squares. Let the manifold X be n dimensional...

Oman, Luke D.; Douglass, Anne R.; Fleming, Eric L.; Strahan, Susan E.; Steenrod, Stephen D.; Søvde, O. Amund; Isaksen, Ivar S. A.; Froidevaux, Lucien;...

infinitesimal generators of the group are the Killing vector fields. The Myers–Steenrod theorem states that every isometry between two connected Riemannian manifolds...

/p)\cong [H\mathbb {Z} /p,H\mathbb {Z} /p]\cong {\mathcal {A}}_{p}} for the p-Steenrod algebra A p {\displaystyle {\mathcal {A}}_{p}} . One of the quintessential...

dissertation, on Functor Theory, was written under the supervision of Norman Steenrod and David Buchsbaum. Freyd is best known for his adjoint functor theorem...

H_{*}(X)} over the dual Steenrod algebra A ∗ {\displaystyle {\mathcal {A}}^{*}} forms a comodule. This comes from the fact the Steenrod algebra A {\displaystyle...

"Generic representations of the finite general linear groups and the Steenrod algebra. I", American Journal of Mathematics, 116 (2): 327–360, doi:10...

cohomology. This was extended in the 1950s, when Samuel Eilenberg and Norman Steenrod generalized this approach. They defined homology and cohomology as functors...

creates cannot in general be bundles. Steenrod 1951, p. 47 Husemoller 1994, p. 18 Lawson & Michelsohn 1989, p. 374 Steenrod, Norman (1951). The Topology of...

cohomology of restricted Lie algebras and of Hopf algebras: Application to the Steenrod algebra. From 1964 to 1967, May taught at Yale University. He has been...