Abstract
We prove that the category of ℤ2n-manifolds has all finite products. Further, we show that a ℤ2n-manifold (resp., a ℤ2n-morphism) can be reconstructed from its algebra of global ℤ2n-functions (resp., from its algebra morphism between global ℤ2nℤ2n-function algebras). These results are of importance in the study of ℤ2n Lie groups. The investigation is all the more challenging, since the completed tensor product of the structure sheafs of two ℤ2n-manifolds is not a sheaf. We rely on a number of results on (pre)sheaves of topological algebras, which we establish in the appendix.
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.
