筑波大学トポロジーセミナー
世話人：川村一宏，平山至大，石井敦，丹下基生，蓮井翔
| 日時 | ２００９年１１月１９日（木）１６：００～１７：３０ |
|---|---|
| 場所 | 筑波大学 自然系学系Ｄ棟 Ｄ８１４ |
| 講演者 | Dušan Repovš 氏 （University of Ljubljana・スロベニア） |
| 講演題目 | Geometric topology of $(n\ge 5)$-dimensional Busemann $G$-spaces |
| アブストラクト |
We shall present a survey of the classical Busemann Conjecture, which asserts that every $n$-dimensional Busemann $G$-space, $n\ge 5$, is a topological $n$-manifold. This outstanding conjecture is related to (also classical) conjecture concerning the characterization of topological $n$-manifolds, the Bing-Borsuk Conjecture, which asserts that every $n$-dimensional homogeneous absolute neighborhood retract (ANR), $n\ge 3$, is a topological $n$-manifold. We shall also discuss the latest results, examples, conjectures and open problems concerning the class of Busemann $G$-spaces. |
| その他 |
