Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657891 | Topology and its Applications | 2016 | 15 Pages |
Abstract
We introduce the right homotopy shift of paths and loops in the inverse limit of a single upper semi-continuous multivalued function on the unit interval. Consequently we obtain a shift in the fundamental group, which turns out to be an injective map under conditions usually assumed for such one-dimensional limits. As a result we obtain strong restriction on the fundamental groups of such inverse limits: they are not finitely generated and are often trivial or uncountable.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Aleš Vavpetič, Žiga Virk,