منابع مشابه
Reasonable Ultrafilters, Again
We continue investigations of reasonable ultrafilters on uncount-able cardinals defined in Shelah [8]. We introduce stronger properties of ul-trafilters and we show that those properties may be handled in λ–support iterations of reasonably bounding forcing notions. We use this to show that consistently there are reasonable ultrafilters on an inaccessible cardinal λ with generating system of siz...
متن کاملThe Combinatorics of Reasonable Ultrafilters
We are interested in generalizing part of the theory of ultrafilters on ω to larger cardinals. Here we set the scene for further investigations introducing properties of ultrafilters in strong sense dual to being normal. 0. Introduction A lot of knowledge has been accumulated on ultrafilters on ω. In the present paper we are interested in carrying out some of those arguments for ultrafilters on...
متن کاملLinear Ultrafilters
Let X be a k-vector space, and U a maximal proper filter of subspaces of X. Then the ring of endomorphisms of X that are ‘‘continuous’’ with respect to U modulo the ideal of those that are ‘‘trivial’’ with respect to U forms a division ring E(U ). (These division rings can also be described as the endomorphism rings of the simple left End( X )-modules.) We study this and the dual construction, ...
متن کاملNeighborhoods, Ultrafilters, and Canonicity
This paper will remind the reader of neighborhood semantics for modal logics, compare them with relational semantics, and then look at some questions about neighborhood semantics that have been answered, and some which are still open. We will then introduce “ultrafilter semantics,” a way of expressing all sets over a canonical frame in an ‘effable’ way. This provides us with a conceptually easy...
متن کاملON SOFT ULTRAFILTERS
In this paper, the concept of soft ultrafilters is introduced and some of the related structures such as soft Stone-Cech compactification, principal soft ultrafilters and basis for its topology are studied.
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: Notre Dame Journal of Formal Logic
سال: 2011
ISSN: 0029-4527
DOI: 10.1215/00294527-1306154