Abstract
Let ℰ be a topos, with subobject classifier Ω. We show that automorphisms of Ω in ℰ are in 1-1 correspondence with closed boolean subtoposes of ℰ, the group operation corresponding to symmetric difference of subtoposes. This helps to explain an earlier result of D. Higgs, which implied that aut (Ω) was an elementary abelian group of exponent 2. We also use this result to give an explicit description of aut Ω when ℰ is a spatial topos or a topos of presheaves.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
