JournalsprimsVol. 39 , No. 1DOI 10.2977/prims/1145476148

Principal Bundle Maps via Rational Homotopy Theory

  • Hiroo Shiga

    Ryukyu University, Okinawa, Japan
  • Toshihiro Yamaguchi

    Kochi University, Japan
Principal Bundle Maps via Rational Homotopy Theory cover

Abstract

Let P be a finite complex on which _S_1 acts freely. In this paper, we shall give a sufficient condition that the kernel of the natural map (forgetful map) Aut_S_1 P → Aut P is a finite group.