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Involutions fixing (point)⌣F n

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Abstract

LetM m be a closed smooth manifold with an involution having fixed set of the form (point)⌣F n, 0<n<m. The main result of this paper is to establish the upper bound form, for eachn. In the special case whenF n is the projective spaceRP n, one also obtains the upper bound.

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Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal de São Carlos, 13.565-905, São Carlos, SP, Brazil

    P. L. Q. Pergher

  2. Department of Mathematics, University of Virginia, 22904, Charlottesville, VA, USA

    R. E. Stong

Authors
  1. P. L. Q. Pergher
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  2. R. E. Stong
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Pergher, P.L.Q., Stong, R.E. Involutions fixing (point)⌣F n . Transformation Groups 6, 79–86 (2001). https://doi.org/10.1007/BF01236063

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  • DOI: https://doi.org/10.1007/BF01236063

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