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1.

図書
図書
1. Spectra and the Steenrod algebra : modules over the Steenrod algebra and the stable homotopy category (: U.S ; : ne)
H.R. Margolis
出版情報: Amsterdam ; New York : North-Holland , New York, NY : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1983  xix, 489 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 29
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2.

図書
図書
2. Unstable modules over the Steenrod algebra and Sullivan's fixed point set conjecture (: pbk)
Lionel Schwartz
出版情報: Chicago : University of Chicago Press, c1994  x, 229 p. ; 21 cm
シリーズ名: Chicago lectures in mathematics
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目次情報: 続きを見る
Introduction
Frequently used notation
Recollections of the Steenrod algebra and unstable A-modules / Part 11：
Algebraic Brown-Gitler technology / 2：
U-Injectivity of the mod p cohomology of elementary abelian p-groups and Lannes' functor TV / 3：
The structure of indecomposable reduced U-injectives / Part 24：
The category U/Nil, analytic functors, and representations of the symmetric groups6. Subcategories of U / 5：
Non-Abelian homological algebra and Andreacute;-Quillen cohomology8. On homotopy classes of maps from BV / Part 37：
The generalized Sullivan conjecture and the cohomology of mapping spaces / 9：
References
Index of notation
Index
Introduction
Frequently used notation
Recollections of the Steenrod algebra and unstable A-modules / Part 11：
3.

図書
図書
3. Poincaré duality algebras, Macaulay's dual systems, and Steenrod operations
Dagmar Meyer and Larry Smith
出版情報: Cambridge ; New York : Cambridge University Press, 2005  vi, 193 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 167
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目次情報: 続きを見る
Introduction
Poincare duality quotients / Part I：
Poincare duality, Gorenstein algebras, and irreducible ideals / I.1：
Properties of irreducible ideals / I.2：
The ancestor ideals / I.3：
Fundamental classes / I.4：
Poincare duality quotients of F[V] / I.5：
Counting Poincare duality quotients up to isomorphism / I.6：
Macaulay's dual systems and Frobenius powers / Part II：
Divided power algebras and operations / II.1：
Macaulay's dual principal systems / II.2：
An illustrative example / II.3：
Relation to the classical form problem / II.4：
The K [subset or is implied by] L Paradigm: a computational tool / II.5：
Frobenius powers / II.6：
Poincare duality and the Steenrod algebra / Part III：
P*-Unstable Poincare duality quotients of F[subscript q] [V] / III.1：
The P*-Double Annihilator Theorem / III.2：
Wu classes / III.3：
P*-Indecomposables: Hit Problems / III.4：
A dual interpretation of the P*-Double Annihilator Theorem / III.5：
Steenrod operations and Frobenius powers / III.6：
Examples / III.7：
Dickson, symmetric, and other coinvariants / Part IV：
Dickson coinvariants / IV.1：
Wu classes of algebras of coinvariants / IV.2：
The Macaulay dual of Dickson coinvariants mod 2 / IV.3：
Symmetric coinvariants / IV.4：
The Hit Problem mod 2 / Part V：
Powers of Dickson polynomials in 2 variables / V.1：
A*-Indecomposable elements in F[subscript 2] [x, y] / V.2：
Powers of Dickson polynomials in 3 variables / V.3：
Powers of Dickson polynomials in many variables / V.4：
Powers of mod 2 Stiefel-Whitney classes in 3 variables / V.5：
Macaulay's inverse systems and applications / Part VI：
Macaulay's inverse principal systems / VI.1：
Catalecticant Matrices and Ancestor Ideals / VI.2：
Regular ideals / VI.3：
Lying over for irreducible ideals / VI.4：
Change of rings and inverse polynomials / VI.5：
Inverse systems and the Steenrod algebra / VI.6：
Change of Rings and Wu Classes / VI.7：
The Hit Problem for the Dickson and other algebras / VI.8：
References
Notation
Index
Introduction
Poincare duality quotients / Part I：
Poincare duality, Gorenstein algebras, and irreducible ideals / I.1：
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