Trees of manifolds and boundaries of systolic groups

Paweł Zawiślak

Fundamenta Mathematicae (2010)

  • Volume: 207, Issue: 1, page 71-99
  • ISSN: 0016-2736

Abstract

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We prove that the Pontryagin sphere and the Pontryagin nonorientable surface occur as the Gromov boundary of a 7-systolic group acting geometrically on a 7-systolic normal pseudomanifold of dimension 3.

How to cite

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Paweł Zawiślak. "Trees of manifolds and boundaries of systolic groups." Fundamenta Mathematicae 207.1 (2010): 71-99. <http://eudml.org/doc/286550>.

@article{PawełZawiślak2010,
abstract = {We prove that the Pontryagin sphere and the Pontryagin nonorientable surface occur as the Gromov boundary of a 7-systolic group acting geometrically on a 7-systolic normal pseudomanifold of dimension 3.},
author = {Paweł Zawiślak},
journal = {Fundamenta Mathematicae},
keywords = {systolic groups; systolic complexes; Gromov boundaries; Pontryagin sphere; trees of manifolds; pseudomanifolds},
language = {eng},
number = {1},
pages = {71-99},
title = {Trees of manifolds and boundaries of systolic groups},
url = {http://eudml.org/doc/286550},
volume = {207},
year = {2010},
}

TY - JOUR
AU - Paweł Zawiślak
TI - Trees of manifolds and boundaries of systolic groups
JO - Fundamenta Mathematicae
PY - 2010
VL - 207
IS - 1
SP - 71
EP - 99
AB - We prove that the Pontryagin sphere and the Pontryagin nonorientable surface occur as the Gromov boundary of a 7-systolic group acting geometrically on a 7-systolic normal pseudomanifold of dimension 3.
LA - eng
KW - systolic groups; systolic complexes; Gromov boundaries; Pontryagin sphere; trees of manifolds; pseudomanifolds
UR - http://eudml.org/doc/286550
ER -

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