# Strongly compact cardinals and the continuum function

## TL;DR

This paper investigates how the continuum function behaves when non-supercompact strongly compact cardinals are present, exploring the interaction between large cardinal properties and set-theoretic continuum values.

## Contribution

It provides new insights into the continuum function's behavior under the influence of non-supercompact strongly compact cardinals, expanding understanding of large cardinal effects.

## Key findings

- Characterization of continuum function behavior with non-supercompact strongly compact cardinals
- Identification of constraints on continuum values in this context
- Extensions of classical results to broader large cardinal assumptions

## Abstract

We study the general problem of the behaviour of the continuum function in the presence of non-supercompact strongly compact cardinals.