Gleason parts of bidual algebras

It is shown that the embeding of any Gleason part of a uniform algebra into the spectrum of its second dual is an entire Gleason part. This result is based on the equality of weak-star and norm topologies on the Bear-Gleason part

Self-Dual Codes

Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory. Topics covered in this survey include codes over F_2, F_3, F_4, F_q, Z_4, Z_m, shadow codes, weight enumerators, Gleason-Pierce theorem, invariant theory, Gleason theorems, bounds, mass formulae, enumeration, extremal codes, open problems. There is a comprehensive bibliography.Comment: 136 page

Truth Contests and Talking Corpses

In diverse fictions from the second century Roman Empire, two parties with competing claims to truth hold a formal contest in a public place where, after a series of abrupt reversals, the issue is finally decided by the evidence of a dead, mutilated, or resurrected body. We can ask these corpses to tell us about the ways Roman society constructed truth. Furthermore, can we learn from the abrupt reversals in these narratives anything about the way Romans experienced shifts in truth-paradigms in “real life”? (This is, of course, a question of paramount importance for appreciating the religious change propelled by Christianity)