2021年9月1日
Connectedness properties of the Higson corona of the half line
Topology and its Applications
- 巻
- 301
- 号
- 開始ページ
- 107542
- 終了ページ
- 26pp
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.topol.2020.107542
- 出版者・発行元
- Elsevier BV
It is proved that the Higson corona of the half line satisfies the following connectedness properties: The Higson corona of the half line is hereditarily unicoherent; under the Continuum Hypothesis, there are 2c composants of the Higson corona of the half line; the principle of Near Coherence Filters is equivalent to the assertion that the Higson corona of the half line has only one composant; no non-degenerate subcontinuum of the Higson corona of the half line is hereditarily indecomposable; and every non-empty open subset of the Higson corona of the half line contains a non-degenerate indecomposable continuum.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.topol.2020.107542
- ISSN : 0166-8641
- SCOPUS ID : 85099369173