论文信息 - The combinatorial structure of the Hawaiian earring group

The combinatorial structure of the Hawaiian earring group

Abstract In this paper we study the combinatorial structure of the Hawaiian earring group, by showing that it can be represented as a group of transfinite words on a countably infinite alphabet exactly analogously to the representation of a finite rank free group as finite words on a finite alphabet. We define a big free group similarly as the group of transfinite words on given set, and study their group theoretic structure.

James W. Cannon | Gregory R. Conner | J. Cannon | G. Conner

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