Interval Chains and Completeness in Ultrapowers of Ordered Sets
نویسندگان
چکیده
The ultrapower T * of an arbitrary ordered set is introduced as infinitesimal extension . It obtained the equivalence classes sequences in , where corresponding relation generated by a free ultrafilter on natural numbers. established that always satisfies Cantor’s property, while one can give necessary and sufficient conditions for so would be complete or it fulfill open completeness respectively. Namely, density original determines extension, independently, determined cardinality
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ژورنال
عنوان ژورنال: Mathematica Pannonica
سال: 2022
ISSN: ['0865-2090']
DOI: https://doi.org/10.1556/314.2022.00004