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Topics in the Homology Theory of Fibre Bundles: Lectures Given at the University of Chicago, 1954 (Lecture Notes in Mathematics, 36) by Armand Borel, Edward Halpern (editor) is a nonfiction available to read on EtoBox.
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Title page INTRODUCTION TABLE OP CONTENTS Chapter I. The homologlcal properties of H-spaces. 1. Algebraic preliminaries. 2. Topological preliminaries. 3. Structure theorem for Hopf algebras. 4. Primitive elements, Samelson's theorem. 5. The Pontrjagin product. 6. Homology of H-spaces. 7. Spaces on which an H-space operates. Bibliography Chapter II. Spectral sequence of a fibre bundle. 8. Differential and filtered modules. 9. Notion of a spectral sequence. 10. Spectral sequence of a differential filtered module. 11. Systems of local coefficients. 12. Fibre bundles. 13. Spectral sequences of a fibre bundle. 14. Some simple applications. 15. Pairing of the spectral sequence of a principal bundle with the homology of the structural group. Bibliography. Chapter III. Universal bundles and classifying spaces. 16. Universal bundles and classifying spaces. 17. p(U,G) : three fiberings involving classifying spaces. 18. Some results on universal spectral sequences. 19. Proof of one theorem on universal spectral sequences. 20. Invariants of the Weyl group and classifying spaces. The Hirsch formula. Bibliography. Chapter IV. Classifying spaces of the classical groups. 21. Unitary groups. 22. Or
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- Author
- Armand Borel, Edward Halpern (editor)
- Publisher
- Springer Berlin Heidelberg : Imprint : Springer
- Published
- 1967
- Language
- EN
- ISBN
- 9783540039075
- Category
- nonfiction
- Subjects
- Mathematics, Stem
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