Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584255 | Journal of Algebra | 2015 | 8 Pages |
Abstract
The harmonic archipelago is an important example of a two-dimensional topological space, whose fundamental group displays unusual properties. This group can also be described as a quotient of two different products, a representation somewhat akin to âZ/â¨Z, but nonabelian. It is known to be locally free. Here it is shown that every countable locally free group embeds into this fundamental group.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Wolfram Hojka,