NONCOMPACT ABSOLUTE EXTENSORS IN DIMENSIONn,n-SOFT MAPPINGS, AND THEIR APPLICATIONS

DOI10.1070/IM1987v028n01ABEH000871zbMath0617.54015OpenAlexW2023229750MaRDI QIDQ4727025

A. Ch. Chigogidze

Publication date: 1987

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1987v028n01abeh000871

zbMATH Keywords

Polish spacesspectral characterizationC-embeddingsn-soft mappingsANRs1(sub 2)-manifoldsANE- spacesapplication to functional analysis and nonmetrizable manifoldsR-compact absolute extensors

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Dimension theory in general topology (54F45) (C)- and (C^*)-embedding (54C45) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items (8)

Fixed point sets of Tychonov cubes ⋮ Nöbeling spaces and pseudo-interiors of Menger compacta ⋮ Cohomological dimension of Tychonov spaces ⋮ Fixed point sets of autohomeomorphisms of uncountable products ⋮ Functional extenders and set-valued retractions ⋮ A characterization of Dugundji spaces via set-valued maps ⋮ Linear operators with compact supports, probability measures and Milyutin maps ⋮ Topological groups homeomorphic to products of discrete spaces

This page was built for publication: NONCOMPACT ABSOLUTE EXTENSORS IN DIMENSIONn,n-SOFT MAPPINGS, AND THEIR APPLICATIONS