# Categoricity of theories in ${L}_{\kappa *,\omega}$, when κ* is a measurable cardinal. Part 2

Fundamenta Mathematicae (2001)

- Volume: 170, Issue: 1-2, page 165-196
- ISSN: 0016-2736

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topSaharon Shelah. "Categoricity of theories in $L_{κ*,ω}$, when κ* is a measurable cardinal. Part 2." Fundamenta Mathematicae 170.1-2 (2001): 165-196. <http://eudml.org/doc/282574>.

@article{SaharonShelah2001,

abstract = {We continue the work of [2] and prove that for λ successor, a λ-categorical theory T in $L_\{κ*,ω\}$ is μ-categorical for every μ ≤ λ which is above the $(2^\{LS(T)\})⁺$-beth cardinal.},

author = {Saharon Shelah},

journal = {Fundamenta Mathematicae},

keywords = {infinitary logics; classification theory; categoricity; Łoś theorem; measurable cardinal; limit ultrapower; infinitary language with measurable ; forking; nonisomorphic models},

language = {eng},

number = {1-2},

pages = {165-196},

title = {Categoricity of theories in $L_\{κ*,ω\}$, when κ* is a measurable cardinal. Part 2},

url = {http://eudml.org/doc/282574},

volume = {170},

year = {2001},

}

TY - JOUR

AU - Saharon Shelah

TI - Categoricity of theories in $L_{κ*,ω}$, when κ* is a measurable cardinal. Part 2

JO - Fundamenta Mathematicae

PY - 2001

VL - 170

IS - 1-2

SP - 165

EP - 196

AB - We continue the work of [2] and prove that for λ successor, a λ-categorical theory T in $L_{κ*,ω}$ is μ-categorical for every μ ≤ λ which is above the $(2^{LS(T)})⁺$-beth cardinal.

LA - eng

KW - infinitary logics; classification theory; categoricity; Łoś theorem; measurable cardinal; limit ultrapower; infinitary language with measurable ; forking; nonisomorphic models

UR - http://eudml.org/doc/282574

ER -