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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Structure locale de l’espace des rétractions d’une surface
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by Robert Cauty PDF
Trans. Amer. Math. Soc. 323 (1991), 315-334 Request permission

Abstract:

Let $\Sigma$ be a compact connected $2$-manifold, and $\mathcal {R}(\Sigma )$ the space of retractions of $\Sigma$. We prove that $\mathcal {R}(\Sigma )$ is an ${l^2}$-manifold if the boundary of $\Sigma$ is not empty, and is the union of an ${l^2}$-manifold and an isolated point ${\text {i}}{{\text {d}}_\Sigma }$ if $\Sigma$ is closed.
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Additional Information
  • © Copyright 1991 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 323 (1991), 315-334
  • MSC: Primary 57N20; Secondary 55M15, 57N05, 57S05
  • DOI: https://doi.org/10.1090/S0002-9947-1991-0994164-8
  • MathSciNet review: 994164