Work

Shape dimension of maps

Year: 2023

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2308.13843

Authors: Gevorgyan, Pavel S., Pop, I.

Institutions: Moscow State Pedagogical University, Alexandru Ioan Cuza University

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2884628388

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Related to: 20