Near metrizability via a new approach

Abstract

The present article deals with near metrizability, initiated in an earlier paper, with a new orientation and approach. The notions of nearly regular and uniform pseudo-bases are introduced and analogues of some results concerning metrizability and paracompactness are obtained for near metrizability and near paracompactness respectively via the proposed approach, suitably formulated.

Keywords

• nearly paracompact space
• regular open set
• nearly regular and uniform pseudo-bases
• nearly metrizable.