Single loop space decompositions
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- by David J. Anick
- Trans. Amer. Math. Soc. 334 (1992), 929-940
- DOI: https://doi.org/10.1090/S0002-9947-1992-1145728-3
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Abstract:
The method of single loop space decompositions, in which $\Omega X$ is factored into minimal factors, is an important one for understanding the unstable homotopy of many simply-connected spaces $X$. This paper begins with a survey of the major known theorems along these lines. We then give a necessary and sufficient condition for $\Omega X$ to be decomposable as a product of spaces belonging to a certain list. We conclude with a nontrivial instance of an application of this condition.References
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Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 334 (1992), 929-940
- MSC: Primary 55P35; Secondary 55Q20
- DOI: https://doi.org/10.1090/S0002-9947-1992-1145728-3
- MathSciNet review: 1145728