✦ LIBER ✦

The fundamental groups of one-dimensional spaces

✍ Scribed by Katsuya Eda; Kazuhiro Kawamura

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 688 KB
Volume: 87
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00167-3

No coin nor oath required. For personal study only.

✦ Synopsis

Let X be a space of dimension at most I. Then, the fundamental group is isomorphic to a subgroup of the first Tech homotopy group based on finite open covers. Consequently, for a onedimensional continuum X, the fundamental group is isomorphic to a subgroup of the first Tech homotopy group.

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