The Selected Works of J. Frank Adams, Том 1Cambridge University Press, 7 жовт. 1992 р. - 552 стор. This selection of Adams' work in two volumes brings together all his major research contributions. They are organized by subject matter rather than in strict chronological order. The first volume contains papers on the cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem, applications of K-theory, generalized homology and cohomology theories. The second volume is mainly concerned with Adams' contributions to characteristic classes and calculations in K-theory, modules over the Steenrod algebra and their Ext groups, finite H-spaces and compact Lie groups, and maps between classifying spaces and compact groups. |
Зміст
On the cobar construction | 27 |
On the structure and applications of the Steenrod algebra | 34 |
On the nonexistence of elements of Hopf invariant one | 69 |
A periodicity theorem in homological algebra | 93 |
Modules over the Steenrod algebra | 106 |
SubHopfalgebras of the Steenrod algebra | 118 |
What we dont know about RP | 126 |
Calculation of Lins Ext groups | 132 |
On the groups JXII | 237 |
Spin8 triality F4 and all that | 243 |
The fundamental representations of Eg | 254 |
2Tori in Eg | 264 |
On the groups JXIII | 272 |
On the groups JXIV and correction | 302 |
Ktheory and the Hopf invariant | 354 |
Geometric dimension of bundles over RPn | 362 |
The Segal conjecture for elementary abelian pgroups | 143 |
Applications of Ktheory | 154 |
Vector fields on spheres | 161 |
Finite Hspaces and compact Lie groups | 169 |
Hspaces with few cells | 178 |
Finite Hspaces and algebras over the Steenrod algebra and correction | 184 |
On complex Stiefel manifolds | 191 |
On matrices whose real linear combinations are nonsingular | 214 |
On the groups JXI | 222 |
Finite Hspaces and Lie groups | 235 |
Generalised homology and cohomology theories and a survey | 377 |
Maps between classifying spaces III | 381 |
Maps between pcompleted classifying spaces | 399 |
Idempotent functors in homotopy theory | 422 |
Uniqueness of BSO | 440 |
Graeme Segals Burnside ring conjecture | 475 |
A generalization of the AtiyahSegal completion theorem | 500 |
Algebraic topology in the last decade | 515 |
Загальні терміни та фрази
A-map a₁ apply Atiyah Axiom bundle C₁ chain complex chain mapping coefficients cohomology operations commutative diagram completes the proof complex composite consider construction Corollary corresponding cup-product CW-complex define degree denote dimension Eilenberg-MacLane space elements epimorphism equation exact sequence fibre homotopy FIELDS ON SPHERES filtration finite following diagram formula functor fundamental classes GL(n graded homology homomorphism homotopy equivalence homotopy groups homotopy theory HOPF INVARIANT induced integer isomorphism J. F. ADAMS K₁ K₁(X K₂ KR(X Lemma map f Math module monomorphism natural subset notation obtain pair polynomial Proc proof of Lemma proof of Theorem Proposition quotient representation result ring satisfies Similarly spectral sequence stable STEENROD Algebra Stiefel manifolds subgroup Suppose given Theorem 1.1 Topology trivial universal example VECTOR FIELDS write Z₁ Z₂ zero
Популярні уривки
Сторінка 535 - MF Atiyah, K-theory and reality, Quart. J. Math. Oxford Ser. (2) 17 (1966), 367-386. MR 34 #6756.
Сторінка 535 - MF Atiyah and R. Bott, On the periodicity theorem for complex vector bundles, Acta Math.