A model with a measurable which does not carry a normal measure

نویسندگان

  • Eilon Bilinsky
  • Moti Gitik
چکیده

We construct a model of ZF in which there is a measurable cardinal but there is no normal ultrafilter over it.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Measurable Sensitivity

We introduce the notions of measurable and strong measurable sensitivity, which are measure-theoretic versions of the conditions of sensitive dependence on initial conditions and strong sensitive dependence on initial conditions, respectively. Strong measurable sensitivity is a consequence of light mixing, implies that a transformation has only finitely many eigenvalues, and does not exist in t...

متن کامل

On the number of normal measures א 1 and א 2 can carry

We show that assuming the consistency of certain large cardinals (namely a supercompact cardinal with a measurable cardinal above it), it is possible to force and construct choiceless universes of ZF in which the first two uncountable cardinals א1 and א2 are both measurable and carry certain fixed numbers of normal measures. Specifically, in the models constructed, א1 will carry exactly one nor...

متن کامل

شبیه‌سازی درمانی و حق آزادی تولید مثل

Concern for “reproductive liberty” suggests that decisions about embryos should normally be made by the persons who would be the genetic parents of the child that would be brought into existence if the embryo were brought to term. Therapeutic cloning would involve creating and destroying an embryo, which, if brought to term, would be the offspring of the genetic parents of the perso...

متن کامل

یک مدل بیزی برای استخراج باناظر گرامر زبان طبیعی

In this paper, we show that the problem of grammar induction could be modeled as a combination of several model selection problems. We use the infinite generalization of a Bayesian model of cognition to solve each model selection problem in our grammar induction model. This Bayesian model is capable of solving model selection problems, consistent with human cognition. We also show that using th...

متن کامل

طراحی مدل تصمیم‌گیری چندشاخصۀ فازی برای انتخاب مدیران کتابخانه‌های عمومی از دیدگاه کتابداران

Purpose: We aimed to determine the degree of importance and prioritize management traits by means of decision making models using Fuzzy multi-criteria decision-making procedure and provide a suitable model to identify factors affecting the selection of directors of the public libraries on the basis of the librarian's perspectives. Methodology: In this study, we used a descriptive survey resear...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Arch. Math. Log.

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2012