Lindelöf Σ-Spaces and R-Factorizable Paratopological Groups

نویسنده

  • Mikhail Tkachenko
چکیده

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 ω-narrow and satisfies celω(G) ≤ ω, and the Hewitt–Nachbin completion of G is again an R-factorizable paratopological group.

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عنوان ژورنال:
  • Axioms

دوره 4  شماره 

صفحات  -

تاریخ انتشار 2015