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Author: Richard M. Kane
Publisher: American Mathematical Soc.
ISBN: 0821822543
Category : Homotopy groups
Languages : en
Pages : 111
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Book Description
This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are applied to obtain restrictions on the action of Steenrod powers on [italic]H[italic bold]Z/p*([italic]X) when [italic]H[italic bold]Z [subscript](p)*([italic]X) is torsion free.
Author: Richard M. Kane
Publisher: American Mathematical Soc.
ISBN: 0821822543
Category : Homotopy groups
Languages : en
Pages : 111
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Book Description
This paper constructs and studies a family {[italic]Q[italic]n} of operations in complex connective K-theory. The operations arise from splitting [italic]b[italic]u [wedge product symbol]∧[italic]b[italic]u (localized at a prime p) into a wedge of summands. The operations are applied to obtain restrictions on the action of Steenrod powers on [italic]H[italic bold]Z/p*([italic]X) when [italic]H[italic bold]Z [subscript](p)*([italic]X) is torsion free.
Author: Gunnar Erik Carlsson
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 236
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Author: Gunnar Erik Carlsson
Publisher:
ISBN:
Category : Homology theory
Languages : en
Pages : 238
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Author: Moshe Meiselman
Publisher:
ISBN:
Category :
Languages : en
Pages : 140
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Author: Charles A. Weibel
Publisher: American Mathematical Soc.
ISBN: 0821891324
Category : Mathematics
Languages : en
Pages : 634
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Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
Author: Michael Atiyah
Publisher: CRC Press
ISBN: 0429973179
Category : Mathematics
Languages : en
Pages : 181
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Book Description
These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The theory is taken as far as the solution of the Hopf invariant problem and a start is mode on the J-homomorphism. In addition to the lecture notes proper, two papers of mine published since 1964 have been reproduced at the end. The first, dealing with operations, is a natural supplement to the material in Chapter III. It provides an alternative approach to operations which is less slick but more fundamental than the Grothendieck method of Chapter III, and it relates operations and filtration. Actually, the lectures deal with compact spaces, not cell-complexes, and so the skeleton-filtration does not figure in the notes. The second paper provides a new approach to K-theory and so fills an obvious gap in the lecture notes.
Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
ISBN: 0821851896
Category : Mathematics
Languages : en
Pages : 328
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Book Description
Focusing on the study of real connective $K$-theory including $ko^*(BG)$ as a ring and $ko_*(BG)$ as a module over it, the authors define equivariant versions of connective $KO$-theory and connective $K$-theory with reality, in the sense of Atiyah, which give well-behaved, Noetherian, uncompleted versions of the theory.
Author: L.H. Hodgkin
Publisher: Springer
ISBN: 3540380264
Category : Mathematics
Languages : en
Pages : 301
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Author: Robert Ray Bruner
Publisher: American Mathematical Soc.
ISBN: 0821833669
Category : Mathematics
Languages : en
Pages : 144
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Includes a paper that deals the connective K homology and cohomology of finite groups $G$. This title uses the methods of algebraic geometry to study the ring $ku DEGREES*(BG)$ where $ku$ denotes connective complex K-theory. It describes the variety in terms of the category of abelian $p$-subgroups of $G$ for primes $p$ dividing the group
Author: Laura Amy Stanley
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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