Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9516950 | Topology and its Applications | 2005 | 15 Pages |
Abstract
We prove that the homotopy classes of continuous maps RnâR, where R is Alexandroff's long ray, are in bijection with the antichains of P({1,â¦,n})\{â
}. The proof uses partition properties of continuous maps RnâR. We also provide a description of [X,R] for some other nonmetrizable manifolds.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Mathieu Baillif,