Definitions

1. The Steenrod algebra is introduced using the additive group scheme.
2. The Steenrod algebra is actually a Hopf algebra and i* *ts diagonal gives rise to a tensor product on the categories U resp.
3. Then the Steenrod algebra is the quotient of the tensor algebra of the module M by the ideal generated by the Adem relations. (Web site)

Ext Groups

1. I will describe some computations of Ext groups over the motivic Steenrod algebra (over the complex numbers).

Dual

1. Meyer D.M. Stripping and conjugation in the mod p Steenrod algebra and its dual, 2 (2000), No.

Multiplication

1. The dual to the Steenrod algebra is often more convenient to work with, because the multiplication is commutative. (Web site)

Adams Spectral Sequence

1. This second volume is oriented towards homotopy theory, the Steenrod algebra and the Adams spectral sequence. (Web site)

Module

1. By the definition of the Steenrod algebra, for any space, is a module over the Steenrod algebra, with multiplication induced by.
2. Such groups naturally correspond to Lie algebras and the paper exploits this relation to calculate their Fp-cohomology as a module over the Steenrod algebra.
3. We may regard this as a module over the mod p Steenrod algebra.

Modules

1. Charts for modules over the odd-primary Steenrod Algebra, by Christian Nassau.

Structure

1. J. F. Adams, On the structure and applications of the Steenrod algebra, Comment.
2. Grant Walker Algebraic topology: the structure of the Steenrod algebra, the action of the Steenrod algebra on polynomials. (Web site)

Homological Algebra

1. The requirements of calculations of homotopy group s mean that homological algebra over the Steenrod algebra must be considered. (Web site)

Ext

1. We prove that certain spectra have self maps easily described in terms of Ext over the Steenrod algebra.

Close Relation

1. The general theory of the Steenrod algebra of operations has been brought into close relation with that of the symmetric group.

Cohomology

1. The common theme is extensive use of the action of the Steenrod algebra on the cohomology of a topological space.

Graded

1. The Steenrod algebra has more structure than a graded F p -algebra.

Stable Homotopy Theory

1. This second volume is oriented towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence.

Algebras

1. Abstract: We will look at inseparable extensions of fields (and more generally algebras) over the Steenrod algebra.

Algebra

1. The Steenrod cohomology operations form a (non-commutative) algebra under composition, known as the Steenrod algebra. (Web site)
2. The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. (Web site)
3. The Steenrod cohomology operations form a (noncommutative) algebra under composition, which is the well-known Steenrod algebra.

Mod

1. With this definition, the mod p cohomology of any space becomes a graded module over the mod p Steenrod algebra. (Web site)
2. The study of the action of the Steenrod algebra on the mod p cohomology of spaces has many applications to the topological structure of those spaces. (Web site)
3. For charts of Ext groups, see Christian Nassau's Cohomology charts and Bob Bruner's Cohomology of modules over the mod 2 Steenrod algebra.

Cohomology Operation

1. In algebraic topology, a branch of mathematics, the Steenrod algebra is a structure occurring in the theory of cohomology operation s. (Web site)
2. This begins with Ext group s calculated over the ring of cohomology operation s; the Steenrod algebra in the classical case.

Cohomology Operations

1. Steenrod also developed the theory of fiber bundles, and introduced the "Steenrod algebra" of cohomology operations. (Web site)
2. Recall that the (mod p) Steenrod algebra is defined as the cohomology operations of, or equivalently the cohomology ring.
3. This begins with Ext groups calculated over the ring of cohomology operations, which is the Steenrod algebra in the classical case.

Steenrod Algebra

1. Jean-Pierre Serre and Henri Cartan found a good basis for the Steenrod algebra by examining the Adem relations, named for their discoverer José Adem. (Web site)
2. In algebraic topology, a branch of mathematics, the Steenrod algebra is a structure occurring in the theory of cohomology operations.
3. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a new and unexpected way. (Web site)

Categories

1. Cohomology Operations
2. Mod
3. Information > Science > Mathematics > Algebra
4. Second Volume
5. Stable Homotopy Theory
6. Books about "Steenrod Algebra" in Amazon.com
   

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