Weekly PhD Newsletter | SIGN UP NOW Weekly PhD Newsletter | SIGN UP NOW

Set theory: large cardinals, forcing, and their applications


   Faculty of Engineering and Physical Sciences


About the Project

ZFC set theory is the most widely used foundation for mathematics. With this standard framework precisely articulated, it is possible for us to explore what goes beyond it. Forcing is the standard technique used to show that various statements can neither be proven true nor proven false in ZFC. Similar statements are the so-called large cardinal axioms - these strengthen the theory in a meaningful way and so cannot be proven true, but also we do not expect them to be disprovable either. Both forcing and large cardinal axioms have been extremely useful, both for answering questions within set theory and for applications to other areas of mathematics. In this project, the student will advance the state-of-the-art working with these tools.


How good is research at University of Leeds in Mathematical Sciences?


Research output data provided by the Research Excellence Framework (REF)

Click here to see the results for all UK universities

Email Now


Search Suggestions
Search suggestions

Based on your current searches we recommend the following search filters.

PhD saved successfully
View saved PhDs