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THE SPECTRAL SEQUENCE OF A FIBERING

Дмитрий Борисович Фукс

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Abstract

CONTENTS § 1. Fibre spaces with simplicial projections § 2. Definition of the spectral sequence § 3. The geometric property of the spectral sequence § 4. The algebraic property of the spectral sequence § 5. Statement of the fundamental theorem § 6. Elementary examples § 7. Further properties of the homology spectral sequence § 8. Examples of the computation of the homology spectral sequence § 9. The cohomology spectral sequence. Multiplicative structure §10. ApplicationsAppendix. The spectral sequence of a smooth fibering

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CONTENTS § 1. Fibre spaces with simplicial projections § 2. Definition of the spectral sequence § 3. The geometric property of the spectral sequence § 4. The algebraic property of the spectral sequence § 5. Statement of the fundamental theorem § 6. Elementary examples § 7. Further properties of the homology spectral sequence § 8. Examples of the computation of the homology spectral sequence § 9. The cohomology spectral sequence. Multiplicative structure §10. ApplicationsAppendix. The spectral sequence of a smooth fibering

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CONTENTS § 1. Fibre spaces with simplicial projections § 2. Definition of the spectral sequence § 3. The geometric property of the spectral sequence § 4. The algebraic property of the spectral sequence § 5. Statement of the fundamental theorem § 6. Elementary examples § 7. Further properties of the homology spectral sequence § 8. Examples of the computation of the homology spectral sequence § 9. The cohomology spectral sequence. Multiplicative structure §10. ApplicationsAppendix. The spectral sequence of a smooth fibering

Key concepts: Mathematics, Sequence (biology), Spectral sequence, Pure mathematics, Chemistry, Biochemistry, Cohomology

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