On Ornstein's isomorphism theorem for Bernouilli shifts
نویسندگان
چکیده
منابع مشابه
An isomorphism theorem for digraphs
A seminal result by Lovász states that two digraphs A and B (possibly with loops) are isomorphic if and only if for every digraph X the number of homomorphisms X → A equals the number of homomorphisms X → B. Lovász used this result to deduce certain cancellation properties for the direct product of digraphs. We develop an analogous result for the class of digraphs without loops, and with weak h...
متن کاملAlmost isomorphism for countable state Markov shifts
Countable state Markov shifts are a natural generalization of the well-known subshifts of finite type. They are the subject of current research both for their own sake and as models for smooth dynamical systems. In this paper, we investigate their almost isomorphism and entropy conjugacy and obtain a complete classification for the especially important class of strongly positive recurrent Marko...
متن کاملA Theorem on the Isomorphism Property
An L{structure is called internally presented in a nonstandard universe if its base set and interpretation of every symbol in L are internal. A nonstandard universe is said to satisfy the {isomorphism property if for any two internally presented L{structures A and B, where L has less than many symbols, A is elementarily equivalent to B implies that A is isomorphic to B. In this paper we prove t...
متن کاملAn Isomorphism Theorem for Finitely Additive Measures
A problem which is appealing to the intuition in view of the relative frequency interpretation of probability is to define a measure on a countable space which assigns to each point the measure 0. Such a measure of course becomes trivial if it is countably additive. Finitely additive measures of this type have been discussed by R. C. Buck [l] and by E. F. Buck and R. C. Buck [2]. In a discussio...
متن کاملAn Isomorphism Theorem for Real-Closed Fields
A classical theorem of Steinitz [I& p. 1251 states that the characteristic of an algebraically closed field, together with it.s absolute degree of transcendency, uniquely det,ermine the field (up to isomorphism). It is easily seen that the word real-closed cannot be substituted for the words algebraically closed in this theorem. It is therefore natural to inquire what invariants other than the ...
متن کاملذخیره 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: Advances in Mathematics
سال: 1972
ISSN: 0001-8708
DOI: 10.1016/0001-8708(72)90027-8