Lindelöf Σ-Spaces and R-Factorizable Paratopological Groups

We prove that if a paratopological group G is a continuous image of an arbitrary product of regular Lindelöf Σ -spaces, then it is R-factorizable and has countable cellularity. If in addition, G is regular, then it is totally w-narrow and satisfies celw(G) ≤ w, and the Hewitt–Nachbin completion of G...

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Bibliographic Details
Main Author: Mikhail Tkachenko
Format: Article
Language:English
Published: MDPI AG 2015-07-01
Series:Axioms
Subjects:
Online Access:http://www.mdpi.com/2075-1680/4/3/254