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An Algebraic Model of Fibration with the Fiber K(π, n)-Space
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N. Berikashvili
Veröffentlicht/Copyright:
23. Februar 2010
Abstract
For a fibration with the fiber K(π, n)-space, the algebraic model as a twisted tensor product of chains of the base with standard chains of K(π, n)-complex is given which preserves multiplicative structure as well. In terms of this model the action of the n-cohomology of the base with coefficients in π on the homology of fibration is described.
Key words and phrases.: Simplicial set; cubical set; fibration; K(π, n)-space; cross section; twisted tensor product; perturbed differential; algebraic model; spectral sequence
Received: 1994-09-21
Published Online: 2010-02-23
Published in Print: 1996-February
© 1996 Plenum Publishing Corporation
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Artikel in diesem Heft
- Commutativity for a Certain Class of Rings
- Partial Averaging for Impulsive Differential Equations with Supremum
- An Algebraic Model of Fibration with the Fiber K(π, n)-Space
- On the Uniqueness of Maximal Functions
- On the Solvability of a Darboux Type Non-Characteristic Spatial Problem for the Wave Equation
- Littlewood–Paley Operators on the Generalized Lipschitz Spaces
- On Strong Maximal Operators Corresponding to Different Frames
- Complexity of the Decidability of One Class of Formulas in Quantifier-Free Set Theory with a Set-Union Operator
Schlagwörter für diesen Artikel
Simplicial set;
cubical set;
fibration;
K(π, n)-space;
cross section;
twisted tensor product;
perturbed differential;
algebraic model;
spectral sequence
Artikel in diesem Heft
- Commutativity for a Certain Class of Rings
- Partial Averaging for Impulsive Differential Equations with Supremum
- An Algebraic Model of Fibration with the Fiber K(π, n)-Space
- On the Uniqueness of Maximal Functions
- On the Solvability of a Darboux Type Non-Characteristic Spatial Problem for the Wave Equation
- Littlewood–Paley Operators on the Generalized Lipschitz Spaces
- On Strong Maximal Operators Corresponding to Different Frames
- Complexity of the Decidability of One Class of Formulas in Quantifier-Free Set Theory with a Set-Union Operator