On dimensionally restricted maps

2001/11/13 by H. Murat Tuncali, Tuncali, H. Murat, Vesko Valov +1
Mathematics · #54F55 #55M10 #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #math.GN #math.GT #msc:54F55 #msc:55M10

paper · pdf · doi:10.48550/arxiv.math/0111154

17 pages

arxiv created 2001/11/13 · arxiv updated 2009/11/30

Abstract

Some results of B. Pasynkov and H. Torunczyk on finite-dimensional maps are improved. A generalization of a Dranishnikov-Uspenskij theorem about extensional dimension is also obtained.

Related

• Some mapping theorems for extensional dimension
• Approximation of k-dimensional maps
• Approximations and selections of multivalued mappings of finite-dimensional spaces
• Extension dimension and refinable maps
• Extensional dimension and completion of maps