✦ LIBER ✦

The big fundamental group, big Hawaiian earrings, and the big free groups

✍ Scribed by J.W. Cannon; G.R. Conner

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 184 KB
Volume: 106
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00104-2

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✦ Synopsis

In this second paper in a series of three we generalize the notions of fundamental group and Hawaiian earring. In the first paper we generalized the notion of free group to that of a big free group. In the current article we generalize the notion of fundamental group by defining the big fundamental group of a topological space. We also describe big Hawaiian earrings, which are generalizations of the classical Hawaiian earring. We then prove that the big fundamental group of a big Hawaiian earring is a big free group.

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