A group-theoretical finiteness theorem

We start with the universal covering space of a closed n -manifold and with a tree of fundamental domains which zips it . Our result is that, between T and , is an intermediary object, , obtained by zipping, such that each fiber of p is finite and admits a section .

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Bibliographische Detailangaben
Veröffentlicht in:	Geometriae dedicata 2008-12, Vol.137 (1), p.1-25
Hauptverfasser:	Poénaru, Valentin, Tanasi, Corrado
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebraic Geometry Convex and Discrete Geometry Differential Geometry Hyperbolic Geometry Mathematics Mathematics and Statistics Original Paper Projective Geometry Topology
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We start with the universal covering space of a closed n -manifold and with a tree of fundamental domains which zips it . Our result is that, between T and , is an intermediary object, , obtained by zipping, such that each fiber of p is finite and admits a section .
ISSN:	0046-5755 1572-9168
DOI:	10.1007/s10711-008-9279-4