Approximations and selections of multivalued mappings of finite-dimensional spaces

2001/06/09 by N. Brodsky, Alex Chigogidze, Brodsky, N. +4 · 1 citation
Decision Sciences · Mathematics · #54C65 #Advanced Topology and Set Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Fixed Point Theorems Analysis #Fuzzy and Soft Set Theory #General Topology (math.GN) #math.AT #math.GN #msc:54C65

paper · pdf · doi:10.48550/arxiv.math/0106064

30 pages

openalex publication_date 2001/06/09 · arxiv created 2001/06/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove extension-dimensional versions of finite dimensional selection and approximation theorems. As applications, we obtain several results on extension dimension.

Citations

• Extension dimension and C-spaces
• Some mapping theorems for extensional dimension

Cited by

• Absolute extensors in extension theory

Related

• Continuous selections with respect to extension dimension
• Hurewicz theorem for extension dimension
• On dimensionally restricted maps
• Approximation of k-dimensional maps
• Some mapping theorems for extensional dimension