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
A core-free semicovering of the Hawaiian Earring
β Scribed by Fischer, Hanspeter; Zastrow, Andreas
- Book ID
- 121223456
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 339 KB
- Volume
- 160
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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