| Document Type
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BL
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| Record Number
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999041
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| Doc. No
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b753411
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| Main Entry
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Gugenheim, V. K. A. M.,1923-
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| Title & Author
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On the theory and applications of differential torsion products /\ [by] V.K.A.M. Gugenheim and J. Peter May.
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, ©1974.
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| Series Statement
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Memoirs of the American Mathematical Society,; no. 142
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| Page. NO
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ix, 93 pages :: illustrations ;; 26 cm.
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| ISBN
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0821818422
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: 9780821818428
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| Bibliographies/Indexes
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Includes bibliographical references (pages 92-93).
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| Contents
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Differential homological algebra -- Realizations of resolutions -- The differential torsion product and geometry -- Principal bundles, homogeneous spaces, and Postnikov systems -- Matric Massey products.
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| Abstract
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A new approach to differential homological algebra is developed, one which exploits more general types of resolutions than the bicomplexes used traditionally. An example of such a generalized resolution is exhibited and is used to prove that the differential torsion product reduces to the classical torsion product in favorable cases. This result is used to compute the cohomology of various spaces. The paper also includes proofs (within the new framework) of the results of Eilenberg and Moore which relate differential torsion products to the homology and cohomology of spaces, and a discussion of the relationship between differential torsion products and matric Massey products.
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Algebra, Homological.
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Differential algebra.
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Spectral sequences (Mathematics)
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Torsion products.
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Algèbre différentielle.
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Algèbre homologique.
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Eilenberg-Moore, Suites spectrales d'
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Produits de torsion.
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31.65 varieties, cell complexes.
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Algebra, Homological.
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Differential algebra.
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Matematica.
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Spectral sequences (Mathematics)
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Topologia Algebrica.
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Torsion products.
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| Dewey Classification
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510/.8 s512/.55
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| LC Classification
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QA3.A57 no.142
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| NLM classification
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31.65bcl
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SI 810rvk
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| Added Entry
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May, J. Peter.
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| Parallel Title
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Differential torsion products
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