An example of Hilton and Roitberg
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- by Allan J. Sieradski PDF
- Proc. Amer. Math. Soc. 28 (1971), 247-253 Request permission
Abstract:
In [3], P. J. Hilton and J. Roitberg illustrated with several examples the failure of cancellation for products in the homotopy category of finite CW complexes. We reconstruct here these examples from a different point of view.References
- M. Arkowitz and C. R. Curjel, Some properties of the exotic multiplications on the three-sphere, Quart. J. Math. Oxford Ser. (2) 20 (1969), 171–176. MR 248816, DOI 10.1093/qmath/20.1.171
- Peter Hilton, Homotopy theory and duality, Gordon and Breach Science Publishers, New York-London-Paris, 1965. MR 0198466
- Peter Hilton and Joseph Roitberg, On principal $S^{3}$-bundles over spheres, Ann. of Math. (2) 90 (1969), 91–107. MR 246320, DOI 10.2307/1970683
- N. E. Steenrod, A convenient category of topological spaces, Michigan Math. J. 14 (1967), 133–152. MR 210075
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 247-253
- MSC: Primary 55.40; Secondary 57.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281206-3
- MathSciNet review: 0281206