The generalized Schoenflies theorem for absolute suspensions

• Autorzy: David P. Bellamy , Janusz M. Lysko
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57P05: Local properties of generalized manifolds
• 54F15: Continua and generalizations
• 54C55: Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 103
• Numer: 2
• Strony: 241-246

Daty

wydano

2005

Twórcy

autor

David P. Bellamy

• Department of Mathematical Sciences, University of Delaware, Newark, DE 19716, U.S.A.

autor

Janusz M. Lysko

• Department of Mathematics, Widener University, Chester, PA 19013, U.S.A.

Identyfikatory

DOI

10.4064/cm103-2-9