No description available.

No description available.

Vol. 1: Habilitationsschrift--Freiburg i.B., 1974. / Includes correspondence in Latin. Includes bibliographical references and index.

No description available.

No description available.

Thesis (doctoral)--Rheinische Friedrich-Wilhelms-Universität Bonn, 1996. / Includes bibliographical references (p. 121).

Although the city of Florence lacked a cardinal for most of the fifteenth century, the city was not lacking in cardinal portraits during the same period. This paper examines two different portraits by Florentines of cardinals in the Quattrocento. In a visual portrait from the first half of the century, the painter Bicci di Lorenzo depicted the consecration of the Florentine church Sant'Egidio by pope Martin V. Within the fresco Bicci surrounded the pope with cardinals, whom Vasari claimed were painted from life. Several decades later, the Florentine bookseller Vespasiano da Bisticci wrote over a dozen short biographies of cardinals, many of whom he had known personally through his bookshop. This paper will compare these visual and literary portraits of cardinals across these two works. It will also examine the social and political contexts into which both the visual and literary depictions fit. Author

This thesis examines the interactions between the continuum function and large cardinals. It is know, by a result of Easton, that the continuum function on regular cardinals has great freedom in ZFC. However, large cardinals lay additional constraints to possible behaviour of the continuum function. We focus on weakly compact and measurable cardinal to point out the differences in interactions with the continuum function between various types of large cardinals. We also study the case of indescribable cardinals for the comparison, and the results lead us to conclude that it is not easy to pinpoint the reason for these differences. 1

Revision of the author's Thesis (doctoral)--Humboldt-Universität, Berlin, 2001. / Includes bibliographical references (p. [231]-248) and index.

In this thesis, we present a number of results in set theory, particularly in the areas of forcing, large cardinals, and combinatorial set theory. Chapter 2 concerns covering matrices, combinatorial structures introduced by Viale in his proof that the Singular Cardinals Hypothesis follows from the Proper Forcing Axiom. In the course of this proof and subsequent work with Sharon, Viale isolated two reflection principles, CP and S, which can hold of covering matrices. We investigate covering matrices for which CP and S fail and prove some results about the connections between such covering matrices and various square principles. In Chapter 3, motivated by the results of Chapter 2, we introduce a number of square principles intermediate between the classical and (+). We provide a detailed picture of the implications and independence results which exist between these principles when is regular. In Chapter 4, we address three questions raised by Cummings and Foreman regarding a model of Gitik and Sharon. We first analyze the PCF-theoretic structure of the Gitik-Sharon model, determining the extent of good and bad scales. We then classify the bad points of the bad scales existing in both the Gitik-Sharon model and various other models containing bad scales. Finally, we investigate the ideal of subsets of singular cardinals of countable cofinality carrying good scales. In Chapter 5, we prove that, assuming large cardinals, it is consistent that there are many singular cardinals such that every stationary subset of + reflects but there are stationary subsets of + that do not reflect at ordinals of arbitrarily high cofinality. This answers a question raised by Todd Eisworth and is joint work with James Cummings. In Chapter 6, we extend a result of Gitik, Kanovei, and Koepke regarding intermediate models of Prikry-generic forcing extensions to Radin generic forcing extensions. Specifically, we characterize intermediate models of forcing extensions by Radin forcing at a large cardinal using measure sequences of length less than. In the final brief chapter, we prove some results about iterations of w1-Cohen forcing with w1-support, answering a question of Justin Moore.