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On distinguishing spaces not homotopy-equivalent
Published online by Cambridge University Press: 17 April 2009
Abstract
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A non-pathological example is given of two topological spaces which have isomorphic homotopy groups, homology groups and cohomology ring and which cannot be distinguished from each other by the Whitehead product structure. A family of examples can be constructed likewise.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 49 , Issue 1 , February 1994 , pp. 117 - 119
- Copyright
- Copyright © Australian Mathematical Society 1994
References
[1]Ganea, T., ‘A generalization of the homology and homotopy suspension’, Comm. Math. Helv. 39 (1964), 295–322.CrossRefGoogle Scholar
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[3]James, I.M. and Whitehead, J.H.C., ‘Homotopy theory of sphere bundles over spheres’, Proc. London Math. Soc. 4 (1954), 196–218.CrossRefGoogle Scholar
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