Near-selection theorems for C-spaces
General Topology
2019-12-10 v1
Abstract
Haver's near-selection theorem deals with approximate selections of Hausdorff continuous CE-valued mappings defined on -compact metrizable -spaces. In the present paper, we extend this theorem to all paracompact -spaces. The technique developed to achieve this generalisation is based on oriented simplicial complexes. This approach makes not only a considerable simplification in the proof but is also successful in generalising the special case of compact metric -spaces to all paracompact finite -spaces.
Cite
@article{arxiv.1912.03631,
title = {Near-selection theorems for C-spaces},
author = {Valentin Gutev},
journal= {arXiv preprint arXiv:1912.03631},
year = {2019}
}