Knaster and friends II: The C-sequence number

Motivated by a characterization of weakly compact cardinals due to Todorcevic, we introduce a new cardinal characteristic, the [Formula: see text]-sequence number, which can be seen as a measure of the compactness of a regular uncountable cardinal. We prove a number of [Formula: see text] and independence results about the [Formula: see text]-sequence number and its relationship with large cardinals, stationary reflection, and square principles. We then introduce and study the more general [Formula: see text]-sequence spectrum and uncover some tight connections between the [Formula: see text]-sequence spectrum and the strong coloring principle [Formula: see text], introduced in Part I of this series.

Cardinal characteristics on graphs

A cardinal characteristic can often be described as the smallest size of a family of sequences which has a given property. Instead of this traditional concern for a smallest realization of the given property, a basically new approach, taken in [4] and [5], asks for a realization whose members are sequences of labels that correspond to 1-way infinite paths in a labelled graph. We study this approach as such, establishing tools that are applicable to all these cardinal characteristics. As an application, we demonstrate the power of the tools developed by presenting a short proof of the bounded graph conjecture [4].

Atypical Helicobacter canadensis Strains Associated with Swine

ABSTRACT Forty-two Helicobacter isolates were isolated from swine feces in The Netherlands and Denmark. All 12 isolates sequenced (16S rRNA gene) formed a robust clade with Helicobacter canadensis (∼99% similarity). Species-specific PCR indicated that all of the isolates were H. canadensis isolates. Although the appearance of the porcine isolates was similar to the appearance of H. canadensis, only one of these isolates was able to hydrolyze indoxyl acetate, a cardinal characteristic of this taxon. Examination of the 23S rRNA and hsp60 genes revealed high levels of similarity between the porcine isolates and H. canadensis. However, amplified fragment length polymorphism genomic typing showed that isolates recovered from swine feces were genetically distinct from H. canadensis strains obtained from humans and geese.

Cohen reals from small forcings

We introduce a new cardinal characteristic r*. related to the reaping number r. and show that• posets of size < r* which add reals add unbounded reals;• posets of size < r which add unbounded reals add Cohen reals.We also show that add() ≤ min(r. r*). It follows that posets of size < add() which add reals add Cohen reals.This improves results of Roslanowski and Shelah [RS] and of Zapletal [Z].

Canon 8 - Research Actlvitles—Research in Rehabilitation Counseling: The Role of the Practitioner

Emphasizing that a cardinal characteristic of the professions is an empirical knowledge base, three methodological strategies are recommended: (1) use of standard outcome instrumentation and longitudinal designs, (2) use of the multivariate experimental principle in conjunction with case studies, and (3) involvement of rehabilitation practitioners as participants as well as collaborators in research projects. Moreover, it is argued that practitioners have some responsibility to contribute to the expansion of knowledge, in addition to their obligation to assist in research activities. Finally, detailed criticism of the rules of professional conduct comprising Canon 8 is given.