ABSTRACT

This research level monograph reflects the current state of the field and provides a reference for graduate students entering the field as well as for established researchers.

chapter Chapter 1|34 pages

Introduction

chapter Chapter 2|64 pages

Results in ZFC

chapter Chapter 3|105 pages

Forcing

chapter Chapter 4|45 pages

Filters on ω

chapter Chapter 5|19 pages

Cofinalities of Cardinals Invariants

chapter Chapter 6|53 pages

Iteration

chapter Chapter 7|73 pages

Consistency Results

chapter Chapter 8|50 pages

Strong Measure Zero and Strongly Meager Sets

chapter Chapter 9|67 pages

Descriptive Set Theory