| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4660258 | Topology and its Applications | 2008 | 9 Pages |
Abstract
Two natural questions are answered in the negative:•“If a space has the property that small nulhomotopic loops bound small nulhomotopies, then are loops which are limits of nulhomotopic loops themselves nulhomotopic?”•“Can adding arcs to a space cause an essential curve to become nulhomotopic?” The answer to the first question clarifies the relationship between the notions of a space being homotopically Hausdorff and π1-shape injective.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
