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 defi
The Singular Homology of the Hawaiian Earring
β Scribed by Eda, K.; Kawamura, K.
- Book ID
- 121496058
- Publisher
- Oxford University Press
- Year
- 2000
- Tongue
- English
- Weight
- 209 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Generalizing Specker's result [7] for a countable case without using the continuum hypothesis, NΓΆbeling [6] proved that the subgroup of a direct product I consisting of all finite valued functions is free for any index set I As a non-commutative version of this theorem in case I is countable, Zastro
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