| Автор | Jakobsche, W. |
| Автор | Repovš, D. |
| Дата выпуска | 1990 |
| dc.description | Cannon's recognition problem [10] asks for a short list of topological properties that is reasonably easy to check and that characterizes topological manifolds. In dimensions below three the answer has been known for a long time: see [6, 24]. In dimensions above four it is now known, due to the work of J. W. Cannon [11], R. D. Edwards [14] (see also [12] and [18]), and F. S. Quinn [21], that topological n-manifolds (n ≥ 5) are precisely ENR ℤ-homology n-manifolds with Cannon's disjoint disc property (DDP) [11] and with a vanishing Quinn's local surgery obstruction [23]. In dimension four there is a resolution theorem of Quinn [22] (with the same obstruction as in dimensions ≥ 5) and a 1-LCC shrinking theorem of M. Bestvina and J. J. Walsh [5]. However, it is still an open problem to find an effective analogue of Cannon's DDP for this dimension, one which would yield a shrinking theorem along the lines of that of Edwards [14]. For more on the history of the recognition problem see the survey [24]. |
| Формат | application.pdf |
| Издатель | Cambridge University Press |
| Копирайт | Copyright © Cambridge Philosophical Society 1990 |
| Название | An exotic factor of S<sup>3</sup> × ℝ |
| Тип | research-article |
| DOI | 10.1017/S0305004100068596 |
| Electronic ISSN | 1469-8064 |
| Print ISSN | 0305-0041 |
| Журнал | Mathematical Proceedings of the Cambridge Philosophical Society |
| Том | 107 |
| Первая страница | 329 |
| Последняя страница | 344 |
| Аффилиация | Jakobsche W.; University of Warsaw |
| Аффилиация | Repovš D.; University of Ljubljana |
| Выпуск | 2 |
