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Integral cohomology algebras
The algebras of cohomology groups with integer coefficients and primary operations
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Focusing on the algebraic structures of cohomology groups with integer coefficients, this book delves into the relationships between cohomology algebras and their Eckmann-Hilton duals of homotopy groups. It highlights the generalization of Steenrod algebra structures for cohomology over finite fields and provides examples that utilize cohomology algebra to differentiate topological spaces. Early chapters outline Eckmann-Hilton duality and primary operations, while the concluding chapter suggests avenues for future research in the field.
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Integral cohomology algebras, Andrew Percy
- Language
- Released
- 2010
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- (Paperback)
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- Title
- Integral cohomology algebras
- Subtitle
- The algebras of cohomology groups with integer coefficients and primary operations
- Language
- English
- Authors
- Andrew Percy
- Publisher
- LAP LAMBERT Academic Publishing
- Released
- 2010
- Format
- Paperback
- Pages
- 152
- ISBN13
- 9783838351728
- Category
- Mathematics
- Description
- Focusing on the algebraic structures of cohomology groups with integer coefficients, this book delves into the relationships between cohomology algebras and their Eckmann-Hilton duals of homotopy groups. It highlights the generalization of Steenrod algebra structures for cohomology over finite fields and provides examples that utilize cohomology algebra to differentiate topological spaces. Early chapters outline Eckmann-Hilton duality and primary operations, while the concluding chapter suggests avenues for future research in the field.