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The generalized Schoenflies theorem for absolute suspensions

Tom 103 / 2005

David P. Bellamy, Janusz M. Lysko Colloquium Mathematicum 103 (2005), 241-246 MSC: 54F15, 54C55, 57P05. DOI: 10.4064/cm103-2-9

Streszczenie

The aim of this paper is to prove the generalized Schoenflies theorem for the class of absolute suspensions. The question whether the finite-dimensional absolute suspensions are homeomorphic to spheres remains open. Partial solution to this question was obtained in [Sz] and [Mi]. Morton Brown gave in [Br] an ingenious proof of the generalized Schoenflies theorem. Careful analysis of his proof reveals that modulo some technical adjustments a similar argument gives an analogous result for the class of absolute suspensions.

Autorzy

  • David P. BellamyDepartment of Mathematical Sciences
    University of Delaware
    Newark, DE 19716, U.S.A.
    e-mail
  • Janusz M. LyskoDepartment of Mathematics
    Widener University
    Chester, PA 19013, U.S.A.
    e-mail

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