Classifying spaces and fibrations / [electronic resource] J. Peter May.

By: May, J. PeterMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 155.Publication details: Providence, R.I. : American Mathematical Society, 1975Description: 1 online resource (xiii, 98 p.)ISBN: 9780821899564 (online)Subject(s): Classifying spaces | Fiber spaces (Mathematics) | Fiber bundles (Mathematics)Additional physical formats: Classifying spaces and fibrations /DDC classification: 510/.8 s | 514/.224 LOC classification: QA3 | .A57 no. 155 | QA612.6Online resources: Contents | Contents
Contents:
1. $\mathcal {F}$-spaces and $\mathcal {F}$-maps 2. $\mathcal {F}$-fibrations 3. $\mathcal {F}$-lifting functions 4. Categories of fibres 5. $\mathcal {F}$-quasifibrations and based fibres 6. Examples of categories of fibres 7. The geometric bar construction 8. Groups, homogeneous spaces, and Abelian monoids 9. The classification theorems 10. The definition and examples of $Y$-structures 11. The classification of $Y$-structures 12. A categorical generalization of the bar construction 13. The algebraic and geometric bar constructions 14. Transports and the Serre spectral sequence 15. The group completion theorem
Item type: E-BOOKS
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Bibliography: p. 95-98.

1. $\mathcal {F}$-spaces and $\mathcal {F}$-maps 2. $\mathcal {F}$-fibrations 3. $\mathcal {F}$-lifting functions 4. Categories of fibres 5. $\mathcal {F}$-quasifibrations and based fibres 6. Examples of categories of fibres 7. The geometric bar construction 8. Groups, homogeneous spaces, and Abelian monoids 9. The classification theorems 10. The definition and examples of $Y$-structures 11. The classification of $Y$-structures 12. A categorical generalization of the bar construction 13. The algebraic and geometric bar constructions 14. Transports and the Serre spectral sequence 15. The group completion theorem

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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