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On gaps under GCH type assumptions

✍ Scribed by Moti Gitik


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
199 KB
Volume
119
Category
Article
ISSN
0168-0072

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✦ Synopsis


We prove equiconsistency results concerning gaps between a singular strong limit cardinal Γ„ of coΓΏnality β„΅0 and its power under assumptions that 2 Γ„ = Γ„ + +1 for Β‘ Γ„ and some weak form of the Singular Cardinal Hypothesis below Γ„. Together with the previous results this basically completes the study of consistency strength of the various gaps between such Γ„ and its power under GCH type assumptions below.


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One-Dimensional Differential Equations u
✍ Witold Rzymowski; Dariusz Walachowski πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 160 KB

The existence of solutions to an ordinary discontinuous differential equation and the dependence of solutions on the right-hand side are investigated in this paper. w Ž . x Two main results of D. Biles Trans. Amer. Math. Soc. 339 1993 , 507᎐522 are proved under weaker assumptions.