Geodesic
The generalized Schoenflies theorem for absolute suspensions
David P. Bellamy 1   ; Janusz M. Lysko 2
1 Department of Mathematical Sciences University of Delaware Newark, DE 19716, U.S.A.
2 Department of Mathematics Widener University Chester, PA 19013, U.S.A.
Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 241-246 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm103-2-9
Keywords: paper prove generalized schoenflies theorem class absolute suspensions question whether finite dimensional absolute suspensions homeomorphic spheres remains partial solution question obtained morton brown gave ingenious proof generalized schoenflies theorem careful analysis his proof reveals modulo technical adjustments similar argument gives analogous result class absolute suspensions

David P. Bellamy  1   ; Janusz M. Lysko  2

1 Department of Mathematical Sciences University of Delaware Newark, DE 19716, U.S.A.
2 Department of Mathematics Widener University Chester, PA 19013, U.S.A. 
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David P. Bellamy; Janusz M. Lysko. The generalized Schoenflies theorem  for absolute suspensions. Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 241-246. doi: 10.4064/cm103-2-9

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