Abstract
A continuous mapping f{hook} : X → Y is called k-stable if for every metric space E that contains Y there exists a neighborhood U of f{hook} in C(X, E) such that dim g(X) ≥ k for all g in U. The paper is devoted to the study of k-stable maps on compact metric spaces.
Original language | English |
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Pages (from-to) | 241-265 |
Number of pages | 25 |
Journal | Topology and its Applications |
Volume | 52 |
Issue number | 3 |
DOIs | |
State | Published - 18 Oct 1993 |
Externally published | Yes |
Keywords
- Chogoshvili's conjecture
- Dimension of compacta
- Essential and stable maps
- Stable values
- Uppersemicontinuous decompositions
ASJC Scopus subject areas
- Geometry and Topology