Ef Equivalent Not Isomorphic Pair of Models Sh907
نویسندگان
چکیده
We construct non-isomorphic models M,N , e.g. of cardinality א1 such that in the Ehrenfeucht-Fraissé game of any length ζ < ω1 the isomorphism player wins. Research supported by German-Israeli Foundation for Scientific Research and Development (Grant No.I-706-54.6/2001) I would like to thank Alice Leonhardt for the beautiful typing. First Typed 06/Oct/28 Latest Revision 08/Sept/25 Typeset by AMS-TEX 1
منابع مشابه
Existence of EF-equivalent non-isomorphic models
We prove the existence of pairs of models of the same cardinality λ which are very equivalent according to EF games, but not isomorphic. We continue the paper [4], but we don’t rely on it.
متن کاملBanach Pair Frames
In this article, we consider pair frames in Banach spaces and introduce Banach pair frames. Some various concepts in the frame theory such as frames, Schauder frames, Banach frames and atomic decompositions are considered as special kinds of (Banach) pair frames. Some frame-like inequalities for (Banach) pair frames are presented. The elements that participant in the construction of (Ba...
متن کاملOn Chromatic Equivalence Pair of a Family of K4-Homeomorphs
In this paper, we discuss a pair of chromatically equivalent of K4-homeomorphs of girth 11, that is, K4(1, 3, 7, d, e, f) and K4(1, 3, 7, d′, e′, f ′). As a result, we obtain two infinite chromatically equivalent non-isomorphic K4-homeomorphs. Mathematical Subject Classification: 05C15
متن کاملChromatic Equivalence of K 4 - Homeomorphs with Girth 9
For a graph G, let P (G,λ) denote the chromatic polynomial of G. Two graphs G and H are chromatically equivalent (or simply χ−equivalent), denoted by G ∼ H, if P (G,λ) = P (H,λ). A graph G is chromatically unique (or simply χ−unique) if for any graph H such as H ∼ G, we have H ∼= G, i.e, H is isomorphic to G. A K4-homeomorph is a subdivision of the complete graph K4. In this paper, we discuss a...
متن کاملInvestigation into Deep Brain Stimulation Lead Designs: A Patient-Specific Simulation Study
New deep brain stimulation (DBS) electrode designs offer operation in voltage and current mode and capability to steer the electric field (EF). The aim of the study was to compare the EF distributions of four DBS leads at equivalent amplitudes (3 V and 3.4 mA). Finite element method (FEM) simulations (n = 38) around cylindrical contacts (leads 3389, 6148) or equivalent contact configurations (l...
متن کامل