Final answer:
Katherine has committed burglary by entering Dean's home without permission with the intent to commit murder. Burglary can involve any felony, not just theft, and definitions can vary by jurisdiction.
Step-by-step explanation:
The act of Katherine knowingly entering Dean's home without permission with the intent to commit murder would be classified as burglary in many jurisdictions. Burglary is typically defined as the unlawful entry into a building or occupied structure with the intent to commit a crime therein. It's important to note that this crime does not have to be theft; it can be any felony, such as the intended murder in this scenario. While the traditional definition of burglary required the crime to occur at night, modern laws have evolved to cover daytime offenses as well.
Whether or not Katherine has committed burglary will depend on the specific statutes and definitions of burglary in the jurisdiction where the crime is being investigated. Additionally, the degree of burglary charged can vary based on factors like whether Katherine was armed, the type of building entered, and the time of day, among other considerations.