Back to Search
Start Over
Shape dimension of maps
- Source :
- Bul. Acad. \c{S}tiin\c{t}e Repub. Mold. Mat., 86:1, 3-11 (2018)
- Publication Year :
- 2023
-
Abstract
- In this paper we define a numerical shape invariant of a continuous map called shape dimension of a map, which generalizes the shape dimension of a topological space. Some basic properties and applications of this invariant are given. The question of raising the shape dimension by shape finite-dimensional maps is solved. An example of a shape finite-dimensional surjective map between shape infinite-dimensional spaces is given.<br />Comment: 8 pages
- Subjects :
- Mathematics - Algebraic Topology
55P55, 54C56
Subjects
Details
- Database :
- arXiv
- Journal :
- Bul. Acad. \c{S}tiin\c{t}e Repub. Mold. Mat., 86:1, 3-11 (2018)
- Publication Type :
- Report
- Accession number :
- edsarx.2308.13843
- Document Type :
- Working Paper