On topological spaces of singular density and minimal weight |
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Authors: | Assaf Rinot |
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Institution: | School of Mathematical Sciences, Tel Aviv University, Tel Aviv 69978, Israel |
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Abstract: | We introduce a weakening of the generalized continuum hypothesis, which we will refer to as the prevalent singular cardinals hypothesis, and show it implies that every topological space of density and weight ℵω1 is not hereditarily Lindelöf.The assumption PSH is very weak, and in fact holds in all currently known models of ZFC. |
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Keywords: | primary 54A25 secondary 03E04 |
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