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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Eilenberg-Moore models for fibrations


Author: J.-C. Thomas
Journal: Trans. Amer. Math. Soc. 274 (1982), 203-225
MSC: Primary 55P62; Secondary 55R20
DOI: https://doi.org/10.1090/S0002-9947-1982-0670928-X
MathSciNet review: 670928
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Abstract: E. M. model is a new invariant in rational homotopy theory which gives us both a Künneth object and a Tate-Josefiak resolution. With the E. M. model, we study relations between formality of base, total space and fibre of a Serre fibration, obstructions to $ {\mathbf{k}}$-realizability of a cohomology equivalence between two continuous maps and formalizable maps.


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DOI: https://doi.org/10.1090/S0002-9947-1982-0670928-X
Keywords: Eilenberg-Moore spectral sequence, Serre fibration, rational homotopy, K. S. models, formal maps
Article copyright: © Copyright 1982 American Mathematical Society