The Boundary at Infinity of a Rough CAT(0) Space

• Autorzy: S.M. Buckley , K. Falk
• Języki publikacji: EN

Abstrakty

EN

We develop the boundary theory of rough CAT(0) spaces, a class of length spaces that contains both Gromov hyperbolic length spaces and CAT(0) spaces. The resulting theory generalizes the common features of the Gromov boundary of a Gromov hyperbolic length space and the ideal boundary of a complete CAT(0) space. It is not assumed that the spaces are geodesic or proper

Słowa kluczowe

EN

CAT(0) space; Gromov hyperbolic space; rough CAT(0) space; ideal boundary; Gromov boundary; bouquet boundary

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

wydano

2014-01-01

zaakceptowano

2013-12-23

otrzymano

2013-12-25

online

2014-04-23

Twórcy

autor

S.M. Buckley

• Department of Mathematics and Statistics, National University of Ireland Maynooth, Maynooth, Co. Kildare, Ireland

autor

K. Falk

• Universität Bremen, FB 3 - Mathematik, Bibliothekstraße 1, 28359 Bremen, Germany

Bibliografia

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Identyfikatory

DOI

10.2478/agms-2014-0002