1Department of Mathematical Sciences University of Delaware Newark, DE 19716, U.S.A. 2Department of Mathematics Widener University Chester, PA 19013, U.S.A.
Colloquium Mathematicum, Tome 103 (2005) no. 2, pp. 241-246
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.
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
Affiliations des auteurs :
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
