A locally simply connected space and fundamental groups of one point unions of cones

Katsuya Eda

研究成果: Article査読

4 被引用数 (Scopus)

抄録

Let CX be the cone over a space X. Let a space X be first countable at x, then the following are equivalent: (1) X is locally simply connected at x; (2) Π1((X, x) ⩗ (X, x), x) is naturally isomorphic to the free product Π1(X, x)*Π1 (X, x); (3) Π1((CX, x)V(CX, x), x) is trivial. There exists a simply connected, locally simply connected Tychonoff space X with x ∈ X, such that (X, x) ⩗ (X, x) is not simply connected.

本文言語English
ページ(範囲)239-249
ページ数11
ジャーナルProceedings of the American Mathematical Society
116
1
DOI
出版ステータスPublished - 1992
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

フィンガープリント 「A locally simply connected space and fundamental groups of one point unions of cones」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル