Perfect images of 𝑝-spaces

Abstract

We give a new proof of the fact that paracompact p p -spaces are preserved by perfect mappings. This proof gives more information about the image space than the preceding proofs. We construct some examples showing that the information we get is complete in a way, and an example showing that a perfect image of a σ \sigma -paralindelöf and screenable p p -space need not be a p p -space.