Abstract
The notion of open morphism with respect to an interior operator is introduced in an arbitrary category and its properties are discussed. In particular, it is shown that this new notion is linked to an important functorial property, called the preservation property of interior operators. Furthermore, the restriction of this preservation property to some subclasses of morphisms is shown to be linked to some interesting properties of interior operators.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.