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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality 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 1.43.

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Involutions on Klein spaces $M(p, q)$
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by Paik Kee Kim PDF
Trans. Amer. Math. Soc. 268 (1981), 377-409 Request permission

Abstract:

The Klein spaces $M(p, q)$ are defined (up to homeomorphisms) to be the class of closed, orientable, irreducible $3$-manifolds with finite fundamental groups, in which a Klein bottle can be embedded. Their fundamental groups act freely on the $3$-sphere ${S^3}$ in the natural way. We obtain a complete classification of the PL involutions on Klein spaces $M(p, q)$. It can be applied to the study of some transformation group actions on ${S^3}$ and double branched coverings of ${S^3}$.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 268 (1981), 377-409
  • MSC: Primary 57N10; Secondary 57S25
  • DOI: https://doi.org/10.1090/S0002-9947-1981-0632535-3
  • MathSciNet review: 632535