On the Fundamental Groups of One–dimensional Spaces
نویسندگان
چکیده
We study the fundamental group of one–dimensional spaces. Among the results we prove are that the fundamental group of a second countable, connected, locally path connected, one–dimensional metric space is free if and only if it is countable if and only if the space has a universal cover and that the fundamental group of a compact, one–dimensional, connected metric space embeds in an inverse limit of finitely generated free groups.
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