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Wild knots in higher dimensions as limit sets of Kleinian groups
Author(s):
Margareta
Boege;
Gabriela
Hinojosa;
Alberto
Verjovsky
Journal:
Conform. Geom. Dyn.
13
(2009),
197-216.
MSC (2000):
Primary 57M30;
Secondary 57M45, 57Q45, 30F40
Posted:
September 9, 2009
MathSciNet review:
2540704
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Abstract:
In this paper we construct infinitely many wild knots, , for and , each of which is a limit set of a geometrically finite Kleinian group. We also describe some of their properties.
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Additional Information:
Margareta
Boege
Affiliation:
Instituto de Matemáticas, Unidad Cuernavaca, Universidad Nacional Autónoma de México. Av. Universidad s/n, Col. Lomas de Chamilpa, Cuernavaca, Morelos, México 62209
Email:
margaret@matcuer.unam.mx
Gabriela
Hinojosa
Affiliation:
Facultad de Ciencias, Universidad Autónoma del Estado de Morelos. Av. Universidad 1001, Col. Chamilpa. Cuernavaca, Morelos, México 62209
Email:
gabriela@buzon.uaem.mx
Alberto
Verjovsky
Affiliation:
Instituto de Matemáticas, Unidad Cuernavaca, Universidad Nacional Autónoma de México, Av. Universidad s/n, Col. Lomas de Chamilpa, Cuernavaca, Morelos, México 62209
Email:
alberto@matcuer.unam.mx
DOI:
10.1090/S1088-4173-09-00198-2
PII:
S 1088-4173(09)00198-2
Keywords:
Wild knots,
Kleinian groups
Received by editor(s):
May 6, 2008
Posted:
September 9, 2009
Additional Notes:
The first author's research was partially supported by PFAMU-DGAPA
The second author's research was partially supported by CONACyT CB-2007/83885
The third author's research was partially supported by CONACyT proyecto U1 55084, and PAPIIT (Universidad Nacional Autónoma de México) \#IN102108
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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