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

Katsuya Eda

doi:10.1090/S0002-9939-1992-1132409-0

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
巻	116
号	1
DOI	https://doi.org/10.1090/S0002-9939-1992-1132409-0
出版ステータス	Published - 1992
外部発表	はい

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1992-1132409-0

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引用スタイル

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