Warped compact foliations
Volume 94 / 2008
Annales Polonici Mathematici 94 (2008), 231-243
MSC: 57R30, 53C12, 54A20.
DOI: 10.4064/ap94-3-3
Abstract
The notion of the Hausdorffized leaf space $\widetilde{\mathcal{L}}$ of a foliation is introduced. A sufficient condition for warped compact foliations to converge to $\widetilde{\mathcal{L}}$ is given. Moreover, a necessary condition for warped compact Hausdorff foliations to converge to $\widetilde{\mathcal{L}}$ is shown. Finally, some examples are examined.
