Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4660673 | Topology and its Applications | 2006 | 9 Pages |
Abstract
We generalize some classical theorems related to dimension. We extend Brouwer's fixed point theorem to a class of mappings whose images are not necessarily a subset of the domain. These results also generalize theorems of B.R. Halpern and G.M. Bergman. As applications, we prove some theorems for maps that pull absolute retracts outward into attached sphere collars. We note relationships to the relative Nielsen theory and show that certain of our applications can also be obtained using results of H. Schirmer.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology