Gerbert, Pope Silvester II1

Existentially Closed Ii1 Factors

We examine the properties of existentially closed (R-embeddable) II1 factors. In particular, we use the fact that every automorphism of an existentially closed (R-embeddable) II1 factor is approximately inner to prove that Th(R) is not model-complete. We also show that Th(R) is complete for both finite and infinite forcing and use the latter result to prove that there exist continuum many nonis...

What Islam needs is a pope.

The age-old ploy of justifying the commission of atrocities by one group by citing examples of atrocities committed by another must be condemned. Evil deeds remain evil deeds, and evil and evil deeds beget evil deeds. Our only hope is to stop focusing on the bad and start focusing on the good. For conflicting ideologies to learn tolerance for each other, common moral ground must be found. What ...

Status : Proposed Standard Nick Pope

This document updates RFC 3161 [RFC3161]. It allows the use of ESSCertIDv2 defined in RFC 5035 [ESSV2] to specify the hash of a signer certificate when the hash is calculated with a function other than SHA-1 [SHA1]. Table of

Generators of II1 factors

In 2005, Shen introduced a new invariant, G(N), of a di use von Neumann algebra N with a xed faithful trace, and he used this invariant to give a uni ed approach to showing that large classes of II1 factors M are singly generated. This paper focuses on properties of this invariant. We relate G(M) to the number of self-adjoint generators of a II1 factor M : if G(M) < n/2, then M is generated by ...

Papal Responses to the Holocaust: Contrast between Pope Pius XII and Pope John Paul II