Topics in geometric group theory, Part II
This paper gives a quick overview of the author's recent result that all finitely presented groups are QSF.
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arXiv subjects
Valentin Poénaru
Publications and source records attributed to Valentin Poénaru.
Topics in Geometric Group Theory. Part I
This survey paper concerns mainly with some asymptotic topological properties of finitely presented discrete groups: quasi-simple filtration (QSF), geometric simple connectivity (GSC), topological inverse-representations, and the notion of easy groups. As we will explain, these properties are central in the theory of discrete groups seen from a topological viewpoint at infinity. Also, we shall outline the main steps of the achievements obtained in the last years around the very general question whether or not all finitely presented groups satisfy these conditions.
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All smooth four-dimensional Schoenflies balls are geometrically simply connected
This paper gives a complete proof of the result announced in the title.
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