Vol. 12 (2006)
Articles

A question on images of metric spaces

Zhaowen Li
Departament of Mathematics, Changsha University of Science and Technology, Changsha, Hunan 410077, P.R. China
Ying Ge
Department of Mathematics, Suzhou University, Suzhou, 215006, P.R.China

Published 24-01-2025

Keywords

  • pseudo-sequence-covering mapping,
  • sequentially-quotient mapping

Abstract

In this brief note, we prove that a space is a sequentially-quotient image of a metric space iff it is a pseudo-sequence-covering image of a metric space, which answers a question in [2].