Abstract

PARRA-LONDONO, Carlos Mario  and  URIBE-ZAPATA, Andrés Felipe. The independence of a weak version of the normal Moore space conjecture. Integración - UIS [online]. 2020, vol.38, n.1, pp.43-54.  Epub Feb 27, 2020. ISSN 0120-419X.  https://doi.org/10.18273/revint.v38n1-2020004.

Our purpose is to present an elementary exposition of a classical result in general topology which is a weak version of a problem known as the normal Moore space conjecture. With this aim we study some of the basic properties of Moore spaces and characterize those which are both Lindelof and second countable. We also make use of the continuum hypothesis along with Martin’s axiom to establish the result in question.

Keywords : Moore’s space; independence; continuum hypothesis; Martin’s Axiom; Q-set.

        · abstract in Spanish     · text in Spanish     · Spanish ( pdf )