Constructing Selections Stepwise Over Cones of Simplicial Complexes
General Topology
2019-06-24 v2
Abstract
It is obtained a natural generalisation of Uspenskij's selection characterisation of paracompact -spaces. The method developed to achieve this result is also applied to give a simplified proof of a similar characterisation of paracompact finite -space obtained previously by Valov. Another application is a characterisation of finite-dimensional paracompact spaces which generalises both a remark done by Michael and a result obtained by the author.
Keywords
Cite
@article{arxiv.1902.03267,
title = {Constructing Selections Stepwise Over Cones of Simplicial Complexes},
author = {Valentin Gutev},
journal= {arXiv preprint arXiv:1902.03267},
year = {2019}
}