Spectra of Monadic Second Order Sentences Sh817

نویسنده

  • Saharon Shelah
چکیده

For a monadic sentence ψ in the finite vocabulary we show that the spectra, the set of cardinalities of models of ψ is almost periodic under reasonable conditions. The first is that every model is so called “weakly k-decomposable”. The second is that we restrict ourselves to a nice class of models constructed by some recursion. This research was supported by the Israel Science Foundation I would like to thank Alice Leonhardt for the beautiful typing. Publ. 817; Public First Typed 03/Apr/11 Latest Revision 04/Feb/6 Typeset by AMS-TEX 1

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تاریخ انتشار 2011