I am concerned about the implications of the Editorial by Drs. Lown and Axelrod which appeared in the October 1972 issue of Circulation. Although the authors rightfully point out the numerous technical problems still to be overcome in the development of such defibrillators, their conclusions in the last three paragraphs indicate a heavy bias in favor of "practical research." Although Dr. Lown h...

A Kuga fiber variety is a family of abelian varieties parametrized by a locally symmetric space and is constructed by using an equivariant holomorphic map of Hermitian symmetric domains. We construct a complex torus bundle T over a Kuga fiber variety Y parametrized by X and express its cohomology H∗(T ,C) in terms of the cohomology of Y as well as in terms of the cohomology of the locally symme...

Knight and Stob proved that every low4 Boolean algebra is 0-isomorphic to a computable one. Furthermore, for n = 1, 2, 3, 4, every lown Boolean algebra is 0-isomorphic to a computable one. We show that this is not true for n = 5: there is a low5 Boolean algebra that is not 0-isomorphic to any computable Boolean algebra. It is worth remarking that, because of the machinery developed, the proof u...

Kuga-Satake varieties are abelian varieties associated to certain weight two Hodge structures, for example the second cohomology group of a K3 surface. We start with an introduction to Hodge structures and we give a detailed account of the construction of Kuga-Satake varieties. The Hodge conjecture is discussed in section 2. An excellent survey of the Hodge conjecture for abelian varieties is [...

We show that if X is a toric scheme over a regular ring containing a field of finite characteristic then the direct limit of the K-groups of X taken over any infinite sequence of nontrivial dilations is homotopy invariant. This theorem was known in characteristic 0. The affine case of our result was conjectured by Gubeladze.

BACKGROUND Reduced lung function has been associated with increased rates of myocardial infarction. Whether the occurrence and prognostic significance of ventricular arrhythmia is related to lung function is largely unknown. METHODS AND RESULTS We performed a population-based study of 68-year-old men without a history of stroke or myocardial infarction; 402 men participated. Mortality and cor...

PURPOSE The purpose of this study is to investigate differentially expressed genes using DNA microarray between advanced gastric cancer (AGC) with aggressive lymph node (LN) metastasis and that with a more advanced tumor stage but without LN metastasis. MATERIALS AND METHODS Five sample pairs of gastric cancer tissue and normal gastric mucosa were taken from three patients with T3N3 stage (hi...