We deal with the problem of preserving various versions of completeness in (< κ)–support iterations of forcing notions, generalizing the case " S–complete proper is preserved by CS iterations for a stationary co-stationary S ⊆ ω 1 ". We give applications to Uniformization and the Whitehead problem. In particular, for a strongly inaccessible cardinal κ and a stationary set S ⊆ κ with fat complem...

A model (M,!,...) is κ-like if M has cardinality κ but, for all a `M, the cardinality of 2x `M : x! a ́ is strictly less than κ. In this paper we shall give constructions of κ-like models of arithmetic satisfying an arbitrarily large finite part of PA but not PA itself, for various singular cardinals κ. The main results are : (1) for each countable nonstandard MzΠ # ®Th(PA) with arbitrarily larg...

In the present study, we considered 3-dimensional generalized (κ, μ)-contact metric manifolds. We proved that a 3-dimensional generalized (κ, μ)-contact metric manifold is not locally φ-symmetric in the sense of Takahashi. However such a manifold is locally φ-symmetric provided that κ and μ are constants. Also it is shown that if a 3-dimensional generalized (κ, μ) -contact metric manifold is Ri...

Abstract Background and Aims Light heavy chain deposition disease (LHCDD) is the rarest form of monoclonal immunoglobulin (MIDD) characterized by light chain. At present, large-scale clinical research data LHCDD limited. We explore clinical-pathologic characteristics outcome in a single center China, to obtain better understanding this disease. Method reviewed 65291 native kidney biopsies from ...

On the existence of large subsets of [λ] <κ which contain no unbounded non-stationary subsets * Here we deal with some problems posed by Matet. The first section deals with the existence of stationary subsets of [λ] <κ with no unbounded subsets which are not stationary, where, of course, κ is regular uncountable ≤ λ. In the second section we deal with the existence of such clubs. The proofs are...

We analyze the effect of singularizing cardinals on square properties. By work of Džamonja-Shelah and of Gitik, if you singularize an inaccessible cardinal to countable cofinality while preserving its successor, then κ,ω holds in the bigger model. We extend this to the situation where every regular cardinal in an interval [κ, ν] is singularized, for some regular cardinal ν. More precisely, we s...

For a ring R, denote by SpecΓ(κ,R) the κ-spectrum of the Γ-invariant of strongly uniform right R-modules. Recent realization techniques of Goodearl and Wehrung show that SpecΓ(א1 , R) is full for a suitable von Neumann regular algebra R, but the techniques do not extend to cardinals κ > א1. By a direct construction, we prove that for any field F and any regular uncountable cardinal κ there is a...

Using finite support iteration of c.c.c. partial orders we provide a model of b = κ < s = κ for κ an arbitrary regular, uncountable cardinal.

This paper explores the use of spectral analysis to examine network evolution and co-evolution. Given a sufficient number of measurements of a valued network over time, a matrix (Κ Κ Κ Κ) may be created, where κ ij is the squared coherency between nodes i and j. Since Κ Κ Κ Κ is a matrix of relations, it may be analyzed like any other network to determine which nodes co-evolve, and which change...

BACKGROUND AND PURPOSE Emerging optical imaging technologies such as confocal laser endomicroscopy (CLE) hold promise in improving bladder cancer diagnosis. The purpose of this study was to determine the interobserver agreement of image interpretation using CLE for bladder cancer. METHODS Experienced CLE urologists (n=2), novice CLE urologists (n=6), pathologists (n=4), and nonclinical resear...