The space of retractions of the $2$-sphere and the annulus
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- by Neal R. Wagner PDF
- Trans. Amer. Math. Soc. 158 (1971), 319-329 Request permission
Abstract:
Given a manifold $M$, there is an embedding $\Lambda$ of $M$ into the space of retractions of $M$, taking each point to the retraction of $M$ to that point. Considering $\Lambda$ as a map into the connected component containing its image, we prove that $\Lambda$ is a weak homotopy equivalence for two choices of $M$, namely, the $2$-sphere and the annulus.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 158 (1971), 319-329
- MSC: Primary 54.28
- DOI: https://doi.org/10.1090/S0002-9947-1971-0279763-0
- MathSciNet review: 0279763