Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661349 | Topology and its Applications | 2007 | 13 Pages |
Abstract
In this paper, we investigate several properties of maps from a compactum X to an n-dimensional (combinatorial) manifold Mn. We introduce the notions of stable point and locally extreme point of map, and we prove a higher-dimensional Bruckner–Garg type theorem for the fiber structure of a generic map in the space C(X,Mn) of maps from a compactum X with dimX⩾n to an n-dimensional manifold Mn (n⩾1). As applications, we also study the spaces of Bing maps, Lelek maps, k-dimensional maps and Krasinkiewicz maps in C(X,Mn).
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology