Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



An example of Hilton and Roitberg

Author: Allan J. Sieradski
Journal: Proc. Amer. Math. Soc. 28 (1971), 247-253
MSC: Primary 55.40; Secondary 57.00
MathSciNet review: 0281206
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

  • [1] 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 0248816 (40:2066)
  • [2] P. Hilton, Homotopy theory and duality, Gordon and Breach, New York, 1965. MR 33 #6624. MR 0198466 (33:6624)
  • [3] P. Hilton and J. Roitberg, On principal $ {S^3}$-bundles over spheres, Ann. of Math. (2) 90 (1969), 91-107. MR 0246320 (39:7624)
  • [4] N. E. Steenrod, A convenient category of topological spaces, Michigan Math. J. 14 (1967), 133-152. MR 35 #970. MR 0210075 (35:970)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55.40, 57.00

Retrieve articles in all journals with MSC: 55.40, 57.00

Additional Information

Keywords: Cancellation for products, finite CW complexes, twisted homotopy equivalence
Article copyright: © Copyright 1971 American Mathematical Society

American Mathematical Society