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 |
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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 |