Course: Elements of set theory, MHF 4102 and MHF 5107, sections 1544 and 3277
Meeting time and place: LIT 0127, MWF 6th period
Instructor: Jindrich Zapletal
Office: 456 Little Hall, office hours MWF 10th period
Contact: zapletal@math.ufl.edu, 352-294-2343
Textbook: The corresponding chapters of the notes posted by the instructor. The first version of notes for the November lectures about the reals are here. The first version of the Ramsey theory notes is here.
Grading system: There will be four equally weighted take-home assignments (including a take-home final). Attendance will not be taken.
Contents of the course: The course is divided into four parts covered by the respective take-home assignments.
- Axiomatics of set theory. We will go through the list of axioms of set theory with some historical discussion and justification.
- Basic concepts. We develop natural numbers, the theory of finite sets and cardinality in the axiomatic framework. We state the Continuum Hypothesis and discuss the phenomenon of undecidability of mathematical questions.
- Ordinal numbers. We define von Neumann’s ordinal numbers and prove the transfinite induction and recursion theorems.We define cardinal numbers.
- Topics. A brief introduction to Ramsey theory, descriptive set theory, other stuff depending on time.
Midterms, grades etc: The first midterm can be found here The second midterm can be found here. The third midterm can be found here. The final can be found here. (updated on Sat 2/12, 5:47pm to fix a typo in #2)
Further administrative matters: Requirements for class attendance and make-up exams, assignments, and other work in this course are consistent with university policies that can be found in the online catalog at: https://catalog.ufl.edu/ugrad/current/regulations/info/attendance.aspx.
Students are expected to provide feedback on the quality of instruction in this course based on 10 criteria. These evaluations are conducted online at https://evaluations.ufl.edu. Evaluations are typically open during the last two or three weeks of the semester, but students will be given specific times when they are open. Summary results of these assessments are available to students at https://evaluations.ufl.edu/results/.
Students requesting classroom accommodation must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the Instructor when requesting accommodation.
UF students are bound by The Honor Pledge which states, “We, the members of the University of Florida community, pledge to hold ourselves and our peers to the highest standards of honor and integrity by abiding by the Honor Code.” On all work submitted for credit by students at the University of Florida, the following pledge is either required or implied: “On my honor, I have neither given nor received unauthorized aid in doing this assignment.” The Honor Code (http://www.dso.ufl.edu/sccr/process/student-conduct-honor-code/) specifies a number of behaviors that are in violation of this code and the possible sanctions. Furthermore,you are obligated to report any condition that facilitates academic misconduct to appropriate personnel. If you have any questions or concerns, please consult with the instructor or TAs in this class.