E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
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ArXiv ID:
2406.04078
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Date (published):
27-Aug-2024
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Number of Pages:
31
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Preprint Server:
arXiv
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Keywords:
continuum hypothesis; sprays
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Abstract:
For all d ≥ 3 we show that the cardinality of ℝ is at most ℵₙ if and only if ℝᵈ can be covered with (n+1)(d−1)+1 sprays whose centers are in general position in a hyperplane. This extends previous results by Schmerl when d = 2.
CC BY 4.0
