Warped compact foliations

Szymon M. Walczak

Annales Polonici Mathematici (2008)

  • Volume: 94, Issue: 3, page 231-243
  • ISSN: 0066-2216

Abstract

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The notion of the Hausdorffized leaf space ˜ of a foliation is introduced. A sufficient condition for warped compact foliations to converge to ˜ is given. Moreover, a necessary condition for warped compact Hausdorff foliations to converge to ˜ is shown. Finally, some examples are examined.

How to cite

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Szymon M. Walczak. "Warped compact foliations." Annales Polonici Mathematici 94.3 (2008): 231-243. <http://eudml.org/doc/280796>.

@article{SzymonM2008,
abstract = {The notion of the Hausdorffized leaf space $\widetilde\{\}$ of a foliation is introduced. A sufficient condition for warped compact foliations to converge to $\widetilde\{\}$ is given. Moreover, a necessary condition for warped compact Hausdorff foliations to converge to $\widetilde\{\}$ is shown. Finally, some examples are examined.},
author = {Szymon M. Walczak},
journal = {Annales Polonici Mathematici},
keywords = {foliation; compact foliation; warped foliation; Gromov–Hausdorff topology; Hausdorffized leaf space},
language = {eng},
number = {3},
pages = {231-243},
title = {Warped compact foliations},
url = {http://eudml.org/doc/280796},
volume = {94},
year = {2008},
}

TY - JOUR
AU - Szymon M. Walczak
TI - Warped compact foliations
JO - Annales Polonici Mathematici
PY - 2008
VL - 94
IS - 3
SP - 231
EP - 243
AB - The notion of the Hausdorffized leaf space $\widetilde{}$ of a foliation is introduced. A sufficient condition for warped compact foliations to converge to $\widetilde{}$ is given. Moreover, a necessary condition for warped compact Hausdorff foliations to converge to $\widetilde{}$ is shown. Finally, some examples are examined.
LA - eng
KW - foliation; compact foliation; warped foliation; Gromov–Hausdorff topology; Hausdorffized leaf space
UR - http://eudml.org/doc/280796
ER -

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