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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

An approximation to $ \Omega \sp{n}\Sigma \sp{n}X$


Authors: J. Caruso and S. Waner
Journal: Trans. Amer. Math. Soc. 265 (1981), 147-162
MSC: Primary 55P35; Secondary 55P40
MathSciNet review: 607113
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Abstract: For an arbitrary (nonconnected) based space $ X$, a geometrical construction $ {\tilde C_n}X$ is given, such that $ {\tilde C_n}X$ is weakly homotopy-equivalent to $ {\Omega ^n}{\Sigma ^n}X$ as a $ {\mathcal{C}_n}$-space.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1981-0607113-2
PII: S 0002-9947(1981)0607113-2
Keywords: Iterated loop spaces, little cubes, operad, partial little cubes
Article copyright: © Copyright 1981 American Mathematical Society