| Document Type
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BL
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| Record Number
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976499
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| Doc. No
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b730869
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| Main Entry
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May, J. Peter.
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| Title & Author
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Classifying spaces and fibrations /\ J. Peter May.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, ©1975.
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| Series Statement
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Memoirs of the American Mathematical Society ;; no. 155
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| Page. NO
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xiii, 98 pages :: illustrations ;; 26 cm.
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| ISBN
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0821818554
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: 9780821818558
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| Bibliographies/Indexes
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Includes bibliographical references (pages 95-98).
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| Contents
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ℱ-spaces and ℱ-maps -- ℱ-fibrations -- ℱ-lifting functions -- Categories of fibres -- ℱ-quasifibrations and based fibres -- Examples of categories of fibres -- The geometric bar construction -- Groups, homogeneous spaces, and Abelian monoids -- The classification theorems -- The definition and examples of [italic]Y-structures -- The classification of [italic]Y-structures -- A categorical generalization of the bar construction -- The algebraic and geometric bar constructions -- Transports and the Serre spectral sequence -- The group completion theorem.
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| Abstract
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The basic theory of fibrations is generalized to a context in which fibres, and maps on fibres, are constrained to lie in any preassigned category of spaces [script capital] F. Then axioms are placed on [script capital] F to allow the development of a theory of associated principal fibrations and, under several choices of additional hypotheses on [script capital] F, a classification theorem is proven for such fibrations.
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| Subject
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Classifying spaces.
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Fiber bundles (Mathematics)
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Fiber spaces (Mathematics)
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31.61 algebraic topology.
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| Subject
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Classifying spaces.
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| Subject
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Faser
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| Subject
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Fiber bundles (Mathematics)
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Fiber spaces (Mathematics)
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Klassifikation
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| Subject
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Faser (Mathematik)
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| Subject
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Klassifikation.
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| Dewey Classification
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510/.8 s514/.224
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| LC Classification
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QA3.A57 no.155
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QA3.A63 no.155
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| NLM classification
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31.61bcl
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SI 810rvk
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