A topological proof of a theorem of Kneser
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- by Bjorn Friberg PDF
- Proc. Amer. Math. Soc. 39 (1973), 421-426 Request permission
Abstract:
We give an elementary topological proof that the orthogonal groups $O(2)$ and $O(3)$ are strong deformation retracts of the space of homeomorphisms (with the compact-open topology) of ${R^2}$ and ${S^2}$, respectively. We also deform the space of bounded homeomorphisms of ${R^2}$ to ${S^1}$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 39 (1973), 421-426
- MSC: Primary 57E05
- DOI: https://doi.org/10.1090/S0002-9939-1973-0321124-7
- MathSciNet review: 0321124