抄録
We consider open infinite gropes and prove that every continuous map from the minimal grope to another grope is nulhomotopic unless the other grope has a «branch» which is a copy of the minimal grope. Since every grope is the classifying space of its fundamental group, the problem is translated to group theory and a suitable block cancellation of words is used to obtain the result.
本文言語 | English |
---|---|
ページ(範囲) | 503-519 |
ページ数 | 17 |
ジャーナル | International Journal of Algebra and Computation |
巻 | 23 |
号 | 3 |
DOI | |
出版ステータス | Published - 2013 5月 |
ASJC Scopus subject areas
- 数学 (全般)