Complete quotient Boolean algebras

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

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

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Complete Quotient Boolean Algebras

For I a proper, countably complete ideal on P(X) for some set X , can the quotient Boolean algebra P(X)/I be complete? This question was raised by Sikorski [Si] in 1949. By a simple projection argument as for measurable cardinals, it can be assumed that X is an uncountable cardinal κ, and that I is a κ-complete ideal on P(κ) containing all singletons. In this paper we provide consequences from ...

متن کامل

Complete Ccc Boolean Algebras

Let B be a complete ccc Boolean algebra and let τs be the topology on B induced by the algebraic convergence of sequences in B. 1. Either there exists a Maharam submeasure on B or every nonempty open set in (B, τs) is topologically dense. 2. It is consistent that every weakly distributive complete ccc Boolean algebra carries a strictly positive Maharam submeasure. 3. The topological space (B, τ...

متن کامل

Simple Complete Boolean Algebras

For every regular cardinal κ there exists a simple complete Boolean algebra with κ generators.

متن کامل

Complete Axiomatizations of Some Quotient Term Algebras

We show that T (F)= = E can be completely axiomatized when = E is a quasi-free theory. Quasi-free theories are a wider class of theories than permutative theories of Mal71] for which Mal'cev gave decision results. As an example of application, we show that the rst order theory of T (F)= = E is decidable when E is a set of ground equations. Besides, we prove that the 1-fragment of the theory of ...

متن کامل

Borel complexity of isomorphism between quotient Boolean algebras

See [Oli04]. In [AdKech00], Adams and Kechris showed that the relation of equality on Borel sets (and therefore, any Borel equivalence relation whatsoever) is Borel reducible to the equivalence relation of Borel bireducibility. (In somewhat finer terms, they showed that the partial order of inclusion on Borel sets is Borel reducible to the quasi-order of Borel reducibility.) Their technique was...

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

ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1995

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-1995-1282888-0