Corpus ID: 237940488

Insertion of Continuous Set-Valued Mappings

  title={Insertion of Continuous Set-Valued Mappings},
  author={Valentin G. Gutev},
  • V. Gutev
  • Published 26 September 2021
  • Mathematics
An interesting insertion result about the existence of “intermediate” set-valued mappings between pairs of given set-valued mappings was obtained by Nepomnyashchii. His construction was for a paracompact domain, and he remarked that his result is similar to Dowker’s insertion theorem and may represent a generalisation of this theorem. In the present paper, we characterise the τ -paracompact normal spaces by this insertion property and in the special case of τ = ω, i.e. for countably paracompact… Expand


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