Approximations and selections of multivalued mappings of finite-dimensional spaces

Abstract

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

arXiv comment30 pages

References in corpus (3)

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

Cited by in corpus (3)

• Absolute extensors in extension theory
• Sections of Serre fibrations with low-dimensional fibers
• Local section of Serre fibrations with 3-manifold fibers